if shelia paid $797.50 in interest on a 5 year loan of $5,800 for her first car, what was the interest rate
Answer: interest rate is 68.75%
Given data:
Interest = $797.50
time = 5 years
Principal loan = $5800
\(\begin{gathered} \text{Interest = }\frac{\text{ interest rate}}{nu\text{mber of payments}}\text{ x loan principal} \\ 797.50\text{ =}\frac{\text{ interest rate}}{5}\text{ x 5800} \\ 797.50\text{ = }\frac{\text{ interest rate x 5800}}{5} \\ \text{Cross multiply} \\ 797.50\text{ x 5 = interest rate x 5800} \\ 3987.5\text{ = interest rate x 5800} \\ \text{Divide both sides by 5800} \\ \text{ interest rate = }\frac{3987.5}{5800} \\ \text{ interest rate = 0.6875} \\ \text{ interest rate = 68.75\%} \end{gathered}\)Answer this for me please?
The volume of the rectangular prism is exactly (3/8) of a cubic inch.
How to get the volume of the rectangular prism?
Remember that for a rectangular prism of height H, length L, and width W, the volume is:
V = H*L*W
In this case, we have:
H = 1 inL = (3/4) inW = (1/2) in.Then the volume of the rectangular prism is given by:
\(V = (1 in)*(\frac{3}{4} in)*(\frac{1}{2} in)= \frac{3}{4*2} in^3 = \frac{3}{8} in^3\)
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Go step by step to reduce the radical.
Square Root 200
Answer:
10 root 2
Step-by-step explanation:
root 200 = root 2 × root 100 = 10 root 2
PLEASE HELP!!!!
Find the measures of AB and AC
SHOW ALL YOUR WORK PLEASE!!
In the given diagram the measure of AB is 30 and the measure of AC is 22.5
Similar triangles: Calculating the measures of AB and ACFrom the question, we are to determine the measures of AB and AC
From similar triangle theorem,
Triangle ABC is similar to Triangle DEC
Thus,
We can write that
AB/BC = DE/EC
AB/15 = 16/8
AB = (15 × 16)/8
AB = (240/8
AB = 30
Thus, the measure of AB is 30
Also,
AC/BC = DC/EC
AC/15 = 12/8
AC = (15 × 12)/8
AC = 180/8
AC = 22.5
Hence, the measure of AC is 22.5
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55 POINTS. Use a protractor to draw a parallelogram that has side lengths of 8 centimeters and 6 centimeters and two adjacent angles that measure 40° and 140°.
What are the measures of the other two angles in the parallelogram?
A. 40° and 100°
B. 40° and 140°
C. 80° and 100°
D. 100° and 140°
Answer:
B
Step-by-step explanation:
In parallelogram the corresponding angles should have the same angle measures
Answer:
The answer is B(40° and 140°)
Step-by-step explanation:
I did the question and got it right
9. The Super Vision cable TV/Internet/phone provider advertises a flat $100 monthly fee for all
three services for a new customer. The rate is guaranteed for 5 years. Cable Zone normally
charges $46 for monthly home phone service, $36 for monthly Internet service, and $56 for
monthly cable television.
a. How much could a customer save during the first year by switching from Cable Zone to
Super Vision?
b. Super Vision raises the rates 23% after a new customer's first year, how much will a customer
who switched from Super Vision save in the second year?
c. If Super Vision raises the rates 18% for the third year compared to the second year, which
company is cheaper for the third year?
a. $456 would be the amount a customer could save during the first year by switching from Cable Zone to Super Vision.
b. Super Vision raises the rates 23% after a new customer's first year, a customer who switched from Super Vision save $180 in the second year.
c. Super Vision raises the rates 18% for the third year compared to the second year, for the third year, Cable Zone would be cheaper.
a. To calculate how much a customer could save during the first year by switching from Cable Zone to Super Vision, we need to compare the costs of the two providers.
Cable Zone charges $46 for monthly home phone service, $36 for monthly Internet service, and $56 for monthly cable television. Therefore, the total cost per month with Cable Zone is:
$46 (home phone) + $36 (Internet) + $56 (cable television) = $138
Super Vision, on the other hand, offers all three services for a flat $100 monthly fee. So, the customer would save:
$138 (Cable Zone cost) - $100 (Super Vision cost) = $38 per month
Therefore, during the first year, the customer could save:
$38 (monthly savings) * 12 (number of months) = $456
b. After the first year, Super Vision raises the rates by 23%. The new monthly fee would be:
$100 (original fee) + 23% (rate increase) * $100 (original fee) = $123
To calculate the savings in the second year, we need to compare the new Super Vision fee to the cost with Cable Zone:
$138 (Cable Zone cost) - $123 (Super Vision cost) = $15 per month
Therefore, in the second year, the customer would save:
$15 (monthly savings) * 12 (number of months) = $180
c. If Super Vision raises the rates by 18% for the third year compared to the second year, we need to calculate the new monthly fee. The new Super Vision fee would be:
$123 (second-year fee) + 18% (rate increase) * $123 (second-year fee) = $145.14
To determine which company is cheaper for the third year, we compare the new Super Vision fee to the cost with Cable Zone:
$138 (Cable Zone cost) - $145.14 (Super Vision cost) = -$7.14
In this case, the Super Vision cost is higher than the Cable Zone cost by $7.14 per month. Therefore, for the third year, Cable Zone would be cheaper.
Overall, during the three-year period, the customer would save a total of $456 (first year) + $180 (second year) = $636 by switching to Super Vision.
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Como se convierte un entero en fracción
Answer:
aquí es cómo
Step-by-step explanation:
Convertir el número decimal a fracción colocándolo sobre una potencia de diez. Como hay 2 números a la derecha del punto decimal, coloque el número decimal sobre 10 ^ 2 (100). Luego, agregue el número entero a la izquierda del decimal.
espero que esto ayude.
Si puede, no dude en marcarme como Brainliest, sería muy apreciado :D
What is the distance between (-4, 15) and (24,-7)?
Round your answer to the nearest tenth.
QUESTION 1 1.1 Convert the following to the appropriate units. 1.1.1 1765m to cm 1.1.2 9.4 km to cm 1.1.3 4.2 tons to grams
Answer:
1. 176,500 centimeters
2. 940,000 centimeters
3.42,000,000 grams
Step-by-step explanation:
Convertion:
1.1.1
1765m to cm
1 meter = 100 centimeters
Therefore, 1765 meters =1765*100 centimeters = 176,500 centimeters
1.1.2
9.4 km to cm
1 kilometer = 1000 meters
First convert it into m.
9.4 kilometers = 9.4*1000 meters = 9400 meters
then in cm
1 meter = 100 centimeters
Therefore, 9400 meters = 9400*100 centimeters = 940,000 centimeters
1.1.3
4.2 tons to grams
1 ton = 1000 kilograms
First convert it into kilogram
1 kilogram = 1000 grams
Therefore, 4.2 tons = 4.2*1000 kilograms = 4200 kilograms
then in grams
4200 kilograms = 4200*1000 grams = 42,000,000 grams
I hope this helps! Let me know if you have any other questions.
what is the y-intercept of the line shown below?
A:3/4
B:2
C:3
D:4
The y-intercept is the y value where the blue line crosses the Y axis which is the vertical black line.
The line crosses at the number 4, so the y-intercept is 4
Answer: D. 4
Identify a set of parallel lines and a set of perpendicular lines
Answer:
Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect. Perpendicular lines are lines that intersect at a right (90 degrees) angle.
Step-by-step explanation:
What we should do now to 136 x 27 = 3672, to get back to 1.36 x 2.7.
Use your answer to explain the placement of the decimal point in 1.36 x 2.7.
Answer:
Step-by-step explanation:
8.008.009
Would greatly appreciate the help with both A and B
22. Due to heavy floods in Bagmati province, thousand were rendered homeless 50 schools collectively decided to provide canvas for 1500 tents and share the whole expenditure equally. The lower part of each tent is cylindrical with base radius 2.8 and height 3.5m and the upper part is conical with the same base radius, but of height 2.1 m. If the canvas used to make the tents costs Rs 120 per m², find the amount shared by each school to set up the tents.
Answer: To calculate the amount of canvas needed for one tent, we need to calculate the total surface area of the tent. The tent consists of two parts: the cylindrical lower part and the conical upper part.
The surface area of the cylindrical part can be calculated as follows:
The base area of the cylinder = π × r² = π × 2.8² ≈ 24.61 m²
The lateral area of the cylinder = 2 × π × r × h = 2 × π × 2.8 × 3.5 ≈ 54.99 m²
So, the total surface area of the cylindrical part is the sum of the base area and lateral area, which is:
Total surface area of cylindrical part = 24.61 + 54.99 ≈ 79.60 m²
The surface area of the conical part can be calculated as follows:
The slant height of the cone = √(r² + h²) = √(2.8² + 2.1²) ≈ 3.44 m
The lateral area of the cone = π × r × slant height = π × 2.8 × 3.44 ≈ 24.12 m²
So, the total surface area of the conical part is the sum of the base area and lateral area, which is:
Total surface area of conical part = 24.61 + 24.12 ≈ 48.73 m²
Therefore, the total surface area of one tent is:
Total surface area of one tent = 79.60 + 48.73 ≈ 128.33 m²
To make 1500 tents, the total amount of canvas required is:
Total amount of canvas required = 1500 × 128.33 ≈ 192,495 m²
The cost of the canvas is given as Rs 120 per m². Therefore, the total cost of the canvas required to make the tents is:
Total cost of canvas = 192,495 × 120 ≈ Rs 23,099,400
As 50 schools have decided to share the expenditure equally, the amount shared by each school will be:
Amount shared by each school = Total cost of canvas / 50
Amount shared by each school = 23,099,400 / 50
Amount shared by each school ≈ Rs 461,988
Therefore, each school will have to contribute approximately Rs 461,988 to set up the tents.
Step-by-step explanation:
Make and equation using the numbers 1, 7, 2, and 2. You can merge the numbers like turning 1 and 7 to 17 in your equation. It has to have an equal sign. You cannot have exponents but you can make another be an exponent example: 6 squared or 1 to the 6th power. It has to be in the order of 1, 7, 2, and 2. For instance, yesterday’s was 1 = 6/2 - 2. By tomorrow plzz
Answer:
1^7 = 2/2
Step-by-step explanation:
if (a+b)^2=10, if ab=-2 calculate a^2+b^2
Answer:
a^2+b^2=(a+b)²-2ab=10-2×-2=10+4=14(here -×-=+)
If $2,940.00 is invested for 4 months at 3.8% simple interest:
What is the amount of interest earned?
Answer:
I = $372.40
Step-by-step explanation:
Given the principal amount of $2,940, which is invested for 4 months at 3.8% interest rate:
Use the following simple interest formula to solve for the interest earned:
I = P × r × t
where:
I = interest earned
P = principal amount invested = $2,940
r = interest rate = 3.8% or 0.380
t = time = 4/12 months = ⅓ or 0.3333
Substitute to given values into the simple interest formula:
I = P × r × t
I = $2,940 × 0.380 × 0.3333
I = $372.40
Therefore, the simple interest earned in 4 months is $372.40.
Given P=0.15M +20. Is P a function of M? explain your choice using the definition of a function
Answer: Yes, this is a linear function between P and M.
Step-by-step explanation:
We can define a function as a relation between two or more variables, like y = f(x).
This function, maps the elements x (the input) into elements y (the output).
We have a rule for a function: Each input x can be mapped into only one output y.
In this case, we have:
P = 0.15*M + 20.
Let's prove that each value of M is related to only one value of P.
Suppose that, for a given M0, we have:
0.15*M0 + 20 = p1
and also for M0, we have:
0.15*M0 + 20 = p2
This means that p1 = p2, so we can not have different outputs for the same input.
This is a linear relation, so each value of M is related to only one value of P.
Then this is a function P(m) = 0.15*M + 20.
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The graph represents the quadratic equation y = 2 · x² - 12 · x + 9. The values of the coefficients are b = - 12 and c = 9.
How to determine the value of two coefficients in a quadratic equation
In this problem we find the graph of a quadratic equation and the expression in standard form with two missing coefficients, whose values can be found by considering two points of the graph. If we know that (x₁, y₁) = (3, - 9) and (x₂, y₂) = (5, - 1), then the coefficients are, respectively:
2 · 3² + b · 3 + c = - 9
2 · 5² + b · 5 + c = - 1
3 · b + c = - 27
5 · b + c = - 51
The solution to the system of linear equations is (b, c) = (- 12, 9).
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GIVING BRAINLIEST! AND 20 POINTS!
The two triangles below are similar. To the nearest tenth, what is the measurement of the missing side?
Answer:
4.1
Step-by-step explanation:
Divide 1.2 and 2.3
Which term is an example of a coefficient? *
x + y
4x
8
35 + x
Answer:
4x
Step-by-step explanation:
it will always be the Number beside the variables
4x I guess I don't really know
Q y r z s x+2 3x-8 solve for x
A)12
B)10
C)11
D)13
Answer:
ANSWER IS B
Step-by-step explanation:
What is the value of the digit in the ones place?
2,615
A. 50
B. 5
OC. 2,000
OD. 100
Could you solve for `x` using any tools we have so far? Why or why not?
the value of x can be calculated using the given data.
What are the properties of a Triangle?The properties of the triangle are: The sum of all the angles of a triangle (of all types) is equal to 180°. The sum of the length of the two sides of a triangle is greater than the length of the third side. In the same way, the difference between the two sides of a triangle is less than the length of the third side.
Given a triangle, with two known angles of 42-degree and 26-degree
Let the triangle be ABC
This is, in fact, exactly what the Law of Sines tells you:
a/sinA = b/sinB = c/sinC = m
where m is that scale factor and also the diameter of the triangle's circumcircle.
in our case,
∠A = 26°
∠B = 42°
thus,
a/sinA = b/sinB
4/sin26 = b/sin42
b = 4* (sin 42 /sin26)
b =6.12
or x = 6.1 cm
therefore, the value of x can be calculated using the given data.
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One year ago, you allocated the funds in your portfolio among four securities in the proportions
listed below. The rate of return on each security for the year is given in the third column of the table.
Security
Canadian
Equity
Provincial
Bonds
Asian Equity
Ethical Funds
Proportion Rate of return for the
invested (%)
year (%)
25
10
35
30
12
7
22
-12
Calculate the rate of return for the entire portfolio.
The rate of return for the entire portfolio, given the amount allocated to each of the four securities is
How to find the rate of return ?The rate of return would be the expected return of the proportion of the amounts invested into the various investment vehicles and their rates of return.
The rate of return for the portfolio is therefore :
= ∑ ( proportion invested x rate of return )
= ( 25 % x 12 % ) + ( 10 % x 7 % ) + ( 35 % x 22 % ) + ( 30 % x - 12 % )
= 7. 8 %
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10. Higher Order Thinking Each of 5 friends has x action figures in
his or her collection. Each friend buys 11 more action figures. Now
the 5 friends have a total of 120 action figures.
a. Write an equation that models the problem.
b. Solve the equation to find the number of action figures, x, that
each friend had originally.
Each friend had originally 13 action figures before buying 11 more.
Given that there are 5 friends and each of them has x action figures in his or her collection. When they buy 11 more action figures, the total number of action figures they will have is 120.
a) We need to find an equation that models the problem. Let x be the original number of action figures that each friend had.
Therefore, the total number of action figures that each friend will have after purchasing 11 more is x + 11.
The total number of action figures will be 5(x + 11) = 5x + 55.
Now, according to the problem,5x + 55 = 120
This is our equation that models the problem.
b) We have to solve the equation 5x + 55 = 120 to find the original number of action figures, x, that each friend had before buying 11 more action figures.
5x + 55 = 120
5x = 120 - 55 (subtract 55 from both sides)
5x = 65x = 13
Therefore, each friend had originally 13 action figures before buying 11 more.
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A ring-shaped region is shown below.
Its inner diameter is 14 yd., and its outer diameter is 20 yd.
Answer:
160.14yd²
Step-by-step explanation:
first we find both of their areas then we subtract the small one f4om the big one
A=πr²
step 1 find area of large circle
A=3.14×(10²)
A=3.14×100
A=314
step 2 find are of small circle
A=3.14×(7²)
A=3.14×49
A=153.86
step 3 subtract small area from big area
314-153.86=160.14
Find m and c for this line
Y+3x=1
Answer:
m = -3 ; c = 1
Step-by-step explanation:
y = -3x + 1
y = mx + c
m = -3
c = 1
Elisa withdrew $20 at a time from her bank account and withdrew a total of $140. Francis withdrew $45 at a time from his bank account and withdrew a total of $270. Who made the greater number of withdrawals? Justify your answer.
Answer:
elisa made more withrawalss
Step-by-step explanation:
because when you divide elisa's total withrawal by the amaount of cash she withrew at a time would be 140/20=7.Whwn you compare that to francis's withrawal would be 270/45=6. 7>6 so elisa made more withrawals than francis
Answer:
elisa did da most
Step-by-step explanation:
The equation y = 4x represents the relationship between time, x, and distance traveled, y. Which table represents
this relationship?
x
y
y
x
y
*
y
* 1
0
4
4
1
4
2
8
0
O
o
2
8
2
8
4
8
4
16
من
12
3
16
5
12
8
32
N
9514 1404 393
Answer:
D
Step-by-step explanation:
Choose the table in which all of the y-values are 4 times the corresponding x-values.
If there is a row in a table in which y is not 4x, reject that table. For example, in the first row of the first table we have x=0, so y = 4(0) = 0, but the table has y=4. The first table can be rejected.
Answer:D got the question and got it right
Step-by-step explanation:
x y
2 8
4 16
8 32