Given:
Principal, P = $27,000
Interest rate, R = 1.9%
Time, T = 4
Let's solve for the following.
(a) What is the interest she must pay?
To find the interest apply the simple interest formula:
\(I=\frac{P\ast R\ast T}{100}\)Substitute values into the formula:
\(\begin{gathered} I=\frac{27000\ast1.9\ast4}{100} \\ \\ I=\frac{205200}{100} \\ \\ I=2052 \end{gathered}\)Therefore, the interest she must pay is $2,052
(b) What is the total she must pay back?
To find the total she must pay, add the interest and the principal amount.
Total Amount = Principal + Interest
Total Amount = 27000 + 2052 = 29,052
Therefore, the total amount she must pay is $29,052
ANSWER:
(a) $2,052
(b) $29,052
Given vectors, a= (-2 -3) and b= ( 1 -1 ) find 2a-3b
Answer:
(-10,0)
Step-by-step explanation:
2a =[2(-2) , 2(-3)] = (-4 -6) <--- add them
-3b = [-3(1) . -3(-1)] = (-3 +3) <--- add them
2a - 3b =
[(-4 -6), (-3 +3)] =
(-10,0)
28 less than twice a number is equal to the number. What is the number?
Answer:
x = 28
Step-by-step explanation:
2x - 28 = x
-2x -2x
- 28 = - x
/-x /-x
28 = x
x = 28
Alfonso solved a division problem by drawing an area model.
a. Look at the area model. What division problem did Alfonso solve?
Answer:
.
Step-by-step explanation:
.
Which two values of x are roots of the polynomial below? x^2+3x+5
answer:2x-4+=5x
Step-by-step explanation:
Consider the function f(x)=10^x and function g. G(x)=f(x+4)
how will the graph of function g differ from the graph of function f?
A. The graph of function g is the graph of function f shifted 4 units down
B. Shifted 4 units to the left
C, shifted 4 units up
D. Shifted 4 units to the right
the top answer correct :)
rianna went on a trip to the art museum and sketched a scale drawing of a rectangular wall mural. She used a scale factor of 0.2. The sketch was 12 inches wide and 18 inches long. What was the length of the mural?
3.6 inches
18.2 inches
60 inches
90 inches
Answer:
3.6
Step-by-step explanation:
Bhcnjxyfoufkxxfuiudg
An item travels 70 feet in 10 seconds. What is the unit rate? Question 1 options: 7 ft/s 17 ft/s 70 ft/s 700 ft/s
Answer: 7ft/s
Step-by-step explanation: 7ft x 10 sec =70 seconds
Solve y = x³ for x if y = - 1000.
Answer: x = - 10
Step-by-step explanation:
We will use the equation given, substitute -1,000 in for y, and solve.
y = x³
(1,000) = x³
\(\sqrt[3]{ (1,000)} = \sqrt[3]{x^3}\)
- 10 = x
x = - 10
Is Michael correct? Will choose brainly
Can someone tell me step by step how to solve this.
So, the formula is f(x) = 1.5(2)^x,
1.5 being the initial value, 2 being the base.
This is the equation I was confused on how to solve -
f(-1)=1.5(2)^-1
I know the answer is 0.75 but finding how to get to that answer is what I am struggling with.
(If you aren’t familiar, it’s exponential functions, specifically growth in this case.)
Answer:
f(-1) = 0.75
Step-by-step explanation:
\(f(x)=1.5(2)^x\\f(-1)=1.5(2)^{-1}\\f(-1)=1.5(\frac{1}{2})\\f(-1)=0.75\)
Remember to write \(2^{-1}\) as \(\frac{1}{2}\), that was probably where you were stuck!
The pyramid and prism above have the same triangular base and height. The volume of the pyramid is 18 cubic inches. What is the volume of the prism?
A. 36 cubic inches
B. 72 cubic inches
C. 6 cubic inches
D. 54 cubic inches
Cynthia has a photo frame that has a circumference of 56.52cm. What is the radius of the photo frame?
Answer:8.99 cm
Step-by-step explanation:
Answer:
\(8.995\)cm
Step-by-step explanation:
The circumference formula is: \(C=2\pi r\)
We are given the circumference, which is 56.52cm.
The question wants us to find the radius, r.
To achieve this, we must solve for r.
Plugging in 56.52 for C we get:
\(56.52=2\pi r\)
Dividing both sides by \(2\pi\), we find r:\(8.995\)
\(\frac{56.52}{2\pi } =r\)
\(8.995\)≈\(r\)
If you want to round it up, you can round it to 9cm.
PLEASE I ONLY HAVE AN HOUR!!!!
1) sin 36 = 0.5878
cos 34 = 0.8290
tan 86 = 14.3007
2) A = 37°
B = 23°
C = 2°
3) The three main trigonometric ratios of the given triangle are:
sin B = 5/9.43
cos B = 8/9.43
tan B = 5/8
4) The measure of angle A is: ∠A = 39.6°
5) The length of side x is: x = 39.5 mm
How to find the trigonometric ratios?The six trigonometric ratios of a right angle triangle are:
sin x = opposite/hypotenuse
cos x = adjacent/hypotenuse
tan x = opposite/adjacent
cot x = 1/tan x
sec x = 1/cos x
cosec x = 1/sin x
1) sin 36 = 0.5878
cos 34 = 0.8290
tan 86 = 14.3007
2) A = sin⁻¹0.6018 = 37°
B = cos⁻¹0.9205 = 23°
C = tan⁻¹0.0349 = 2°
3) The three main trigonometric ratios of the given triangle are:
sin B = 5/9.43
cos B = 8/9.43
tan B = 5/8
4) The measure of angle A is gotten from:
∠A = cos⁻¹ (47/61)
∠A = 39.6°
5) The length of side x using trigonometric ratios is:
21/x = tan 28
x = 21/tan 28
x = 39.5 mm
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Does anyone know how to do this function
Answer:
Step-by-step explanation:
f(x) = 2x + 1
g(x) = ?
h(x) = ln(x)
hgf(x) = ½ln(2x - 3)
All h(x) does is take a natural log of a number, therefore the output
gf(x) = \(\sqrt{2x - 3}\)
the change between f(x) and fg(x) is a subtraction of 4 then raising the result to a power of ½.
g(x) = \(\sqrt{x - 4}\)
Write the equation of the line parallel to y=1/2x−6 that passes through (−10,4).
Answer:
y = 1/2 x + 9
Step-by-step explanation:
y = 1/2 x + b
4 = (1/2)(-10) + b
4 = -5 + b
b = 9
Does 17 divide each of these numbers?
a) 68
b) 84
c) 357
d) 1001
Answer:
A and C divide by 7
Step-by-step explanation:
68÷17=4
357÷17=21
68 and 357 are completely divisible by 17. Therefore, option A and C are correct answers.
What is the division?The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.
The given number is 17.
A) 68
Here, 68/17 =4
B) 84
84÷17
17|84|4
68
______
16
Here, remainder is 16
C) 357÷17
17|357|21
357
______
0
C) 1001÷17
17|1001|58
986
______
15
68 and 357 are completely divisible by 17. Therefore, option A and C are correct answers.
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△GFH is similar to △CDE. Identify the corresponding congruent angles.
Answer:
∠G ≅ ∠C
∠F ≅ ∠D
∠H ≅ ∠E
Step-by-step explanation:
Consider the statement n2 + 1 ≥ 2n where n is an integer in [1, 4].
Identify the n values for which the equation is to be verified in order to prove the given statement.
(You must provide an answer before moving to the next part.)
Consider the statement that min(a, min(b, c)) = min(min(a, b), c) whenever a, b, and c are real numbers.
Click and drag the steps to prove min(a, min(b, c)) = min(min(a, b), c) whenever a, b, and c are real numbers. Assume a is the smallest real number.
The statement n² + 1 ≥ 2ⁿ, where n is an integer in [1, 4] is true statement.
The statement that min(a, min(b, c)) = min(min(a, b), c) whenever a, b, and c are real numbers is also true statement in all possible cases.
We have provide two statements and we have to prove them .
a) Consider the statement n² + 1 ≥ 2ⁿ where n is an integer in [1, 4].
For n= 1, we have n²+ 1 = 1 + 1= 2 and 2ⁿ = 2¹ = 1 so, 2≥ 2 then n² + 1 ≥ 2ⁿ.
For n = 2, we have n²+ 1 = 4+1 = 5 and 2ⁿ = 2² = 4 , so 5 > 4 then n² + 1 ≥ 2ⁿ.
For n = 3, we have n² + 1 = 9 + 1= 10 ≥ 8 =2³ =2ⁿ, then n² + 1 ≥ 2ⁿ.
For n = 4, we have, n²+1 = 16 + 1 = 17 > 16 = 2⁴ = 2ⁿ, so n² + 1 ≥ 2ⁿ.
In each case, we see n² +1 ≥ 2ⁿ Hence, the statement is proved.
b) Consider the statement that min(a, min(b, c)) = min(min(a, b), c) whenever a, b, and c are real numbers. Proof it by cases :
Case 1 : min (a, min (b, c)) = a."a" is the minimum element if a is smaller than or equal to the other elements within the minimum statement: a ≤ min(b, c) or in other words a ≤b and a ≤ c.
The minimum of a and b then has to be equal to a (due to a ≤ b), min(a, b) = a
The minimum of a and c has to be equal to a (due to a ≤ c), min(min(a, b), c)
= min(a, c) = a
Thus we have shown in this case min(a. min (b.c))= min (min(a,b). c).
Case 2: min (a, min (b, c)) = b,b is the minimum if b is smaller than or equal to the elements within minimum statement: b≤a and b≤min(b, c)
b is smaller than or equal to the minimum, if b is smaller than or equal to both of the terms expressed in the minimum.
b≤ b and b≤c
The minimum of a and b then has to be equal to b (due to b ≤ a), min(a,b) = b
The minimum of b and c has to be equal to b (due to b≤ c)
min(min(a, b), c) = min (b, c) = b
Thus we have shown in this case min(a, min (b, c)) = min (min(a,b), c).
Case 3 : min (a, min (b, c)) = c,c is the minimum if c is smaller than or equal to the elements within the minimum statement: c≤a and c< min(b, c)
c is smaller than or equal to the minimum, if c is smaller than or equal to both of the terms expressed in the minimum, c≤ b
c≤ c. Since c<a and c≤ b, c then also has to be smaller than or equal to the minimum of a and b, c≤ min(a, b). The minimum of min (a, b) and c has to be equal to c (due to c<min(a, b)), min(min(a, b), c) = c. Thus we have shown in this case min(a, min (b, c)) = min (min(a, b), c).
Conclusion : Since min(a, min(b, c)) = min (min(a, b), c) is true for all three possible cases, the statement is always true.
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question 11 options: in a random sample of 64 orders from on online retailer the proportion of orders made by women is 86%. construct a 95% confidence interval for the true population proportion of online orders made by women. round answers to 3 decimal places, i.e., .xxx. do not put as a percent. do not include leading or ending zeros. lower limit
The Lower limit is 0.745 and the Upper limit is 0.976.
In data, an easy random sample is a subset of people (a pattern) chosen from a larger set (a population) wherein a subset of individuals are selected randomly, all with identical possibilities. it is a system of choosing a pattern in a random manner. In SRS, each subset of okay individuals has the identical chance of being chosen for the sample as every other subset of okay individuals. An easy random pattern is an independent sampling approach. simple random sampling is a fundamental sort of sampling and may be an element of other extra complicated sampling strategies.
In statistics, an easy random pattern is a subset of individuals (a pattern) selected from a bigger set (a population) in which a subset of individuals are chosen randomly, all with identical chances. it's far a manner of choosing a pattern in a random way. In a random sample, every subset of okay people has the identical possibility of being chosen for the pattern as any other subset of okay individuals. An easy random pattern is an impartial sampling approach. simple random sampling is a fundamental type of sampling and can be an issue of other extra complex sampling strategies.
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£35 in the ratio 3:4
Answer:15 and 25
Step-by-step explanation:
3:4= 7
35/7=5
5x3=15
5x4=20
Help! Please will give brainliest if you will
ASAP
Answer: i hope this answers your question
Step-by-step explanation:
the function is negative over the interval (-3,5)
the function is positive over the interval (-..-5)
the function is positive over the interval (3,..)
Answer:here
Step-by-step explanation:
the function is negative over the interval (-3,5)
the function is positive over the interval (-..-5)
the function is positive over the interval (3,..)
I need explanation for example 8.
Thankyou
There is a probability of 94/315 that the problem will be solved.
We are given that P has a chance of solving the problem of 2/7, Q has a chance of solving the problem of 4/7, and R has a chance of solving the problem of 4/9. To find the probability that the problem is solved, we need to consider all possible scenarios in which the problem can be solved.
The probability of this scenario is 2/7. If P solves the problem, then it does not matter whether Q or R solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 2/7.
The probability of this scenario is 4/7. If Q solves the problem, then it does not matter whether P or R solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 4/7.
The probability of this scenario is 4/9. If R solves the problem, then it does not matter whether P or Q solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 4/9.
The probability of this scenario is (1-2/7) * (1-4/7) * (1-4/9) = 3/35. This is because the probability of P not solving the problem is 1-2/7, the probability of Q not solving the problem is 1-4/7, and the probability of R not solving the problem is 1-4/9. To find the probability of none of them solving the problem, we multiply these probabilities together.
To find the probability of the problem being solved, we need to add the probabilities of all the scenarios in which the problem is solved. Therefore, the probability of the problem being solved is:
2/7 + 4/7 + 4/9 = 94/315
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A triangle is formed with side lengths of 7 inches, 24 inches, and 25 inches. is the triangle a right triangle?
Answer:
yes.
and here are some other words bc it needs to be longer than one word.
Answer:
Step-by-step explanation:
please help need asap
Answer: X = 21/6
Step-by-step explanation:
The angle is a 90 degree angle.
that means we know 21x+6=90
21x = 90-6
21x=84
x = 84/24
x = 21/6
x = 21/6
i need help on these please
The cost of gas is proportional to the volume of gas because a constant rate of $3.15 to 1 gallon of gas.
How to calculate the constant rate of gas?From the given table;
The volume of the first gas Layla bought = 3 gallons.
The cost of the 3 gallons = 9.45
Therefore the cost of 1 gallon = ?
That is:
3 gallons = $9.45
1 gallon = X
Make X the subject of formula:
X = 9.45/3 = $3.15
Therefore, the cost of 11 gallons of gas would be = 11×3.15 = $34.65. This is because the cost of 1 gallon would be = $3.15.
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a) Alex, an eighth grader, and Eric, a seventh grader, need to determine who came
closer to their grade’s state record for the triple jump. Alex jumped 38 feet 11 2/3
inches and Eric jumped 36.89 feet. Who was closer to the state record if the eighthgrade record is 40.17 feet, and the seventh-grade record is 38 feet 1 3/5 inches? (2
points)
The person that was closest to the state record after the jump is; Alex
How to solve Algebra word problems?We are told that Alex jumped 38 feet 11²/₃ inches or 38.9725 ft and that the eighth-grade record is 40.17 feet.
Let see how closer Alex jumped was;
40.17 feet - 38.9725 ft = 1.2425 ft
We are told that Eric jumped 36.89 feet and the state record of the eighthgrade record is 40.17 feet. Thus;
Let see how closer Eric jumped was;
40.17 feet - 36.89 ft = 3.28 ft
We conclude that 1.2425 ft is less than 3.28 ft and as such Alex was closer.
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What is the volume of the bird feeder? Round to the nearest tenth if nessacaryWhat is the volume of the bird feeder
What is 3.12 divided by 6.5 ????
Using the arithmetic operation of division, the value for 3.12 / 6.5 is obtained as 0.48.
What is arithmetic operation?
A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.
To divide 3.12 by 6.5, we need to use the following steps -
We can align the decimal point by multiplying both the numerator and denominator by a power of 10 to get rid of the decimal in the numerator.
So, we can multiply both 3.12 and 6.5 by 100 to get -
312 / 650
We can simplify the fraction by dividing both the numerator and denominator by their greatest common factor (GCF).
In this case, the GCF is 26.
So, we can divide both 312 and 650 by 26 to get -
12 / 25
Use the arithmetic operation of division -
12 / 25 = 0.48
Therefore, 3.12 divided by 6.5 is equal to 12/25 or 0.48 when rounded to two decimal places.
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0.834
0.861
0.927
0.877
0.831
0.925
0.912
0.83
0.849
0.933
0.884
find mean, median, maximum, minimum, and mode
Mean ≈ 0.874
Median ≈ 0.877
Maximum = 0.933
Minimum = 0.83
Mode = None
To find the mean, median, maximum, minimum, and mode of the given numbers:
Mean: The mean is the average of a set of numbers.
To calculate the mean, add up all the numbers and divide the sum by the total count.
Mean = (0.834 + 0.861 + 0.927 + 0.877 + 0.831 + 0.925 + 0.912 + 0.83 + 0.849 + 0.933 + 0.884) / 11
Mean ≈ 0.874
Median: The median is the middle value when the numbers are arranged in ascending or descending order.
Since there are 11 numbers, the median would be the 6th number when arranged in order.
Arranging the numbers in ascending order:
0.83, 0.831, 0.834, 0.849, 0.861, 0.877, 0.884, 0.912, 0.925, 0.927, 0.933
Median ≈ 0.877
Maximum: The maximum is the largest value among the given numbers.
Maximum = 0.933
Minimum: The minimum is the smallest value among the given numbers.
Minimum = 0.83
Mode: The mode is the value(s) that appear most frequently in the given numbers.
If there is no value that appears more than once, there is no mode.
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Mark used the computer for 12 hours. If the average power use of a computer per hour is 299 watts, how much power did Mark use?
Answer:
Step-by-step explanation: