To calculate how much money David will have in this account after 5 years, we first need to find out how much interest the account earns each year. To do this, we need to multiply the interest rate by the amount of money in the account. In this case, the interest earned each year would be $800 * 0.023 = $18.40.
Next, we need to calculate how much interest the account earns over the 5-year period. Since the interest is compounded semiannually, this means that the interest is earned twice per year. Therefore, the total amount of interest earned over 5 years would be $18.40 * 2 * 5 = $184.
Finally, we need to add the interest to the original amount of money in the account to find out how much money David will have after 5 years. In this case, the total amount of money David will have after 5 years is $800 + $184 = $984.
Therefore, if David keeps the money in this account for 5 years, he will have $984.
Answer:
$897
Step-by-step explanation:
We know:
P = 800
n = 2
r = 2.3
t = 5
Write Equation:
\(F = 800(1+\frac{\frac{2.3}{100} }{2} )^{2(5)}\)
Evaluate:
896.9
Thus the answer is $897
A basketball court is 31.3 yards long. How many inches is that?
The correct length of the court is 1126.8 inches.
You can find this value by taking 31.3 yards times 36 to equal 1126.8 inches.
K A hot-air balloon is rising vertically. The angle of elevation from a point on level ground 126 feet from the balloon to a point directly under the passenger compartment changes from 19.3 deg to 32.3 deg How far, to the nearest tenth of a foot, does the balloon rise during this period?
The increase in height (rise) of the balloon is \(35.53 feet\)
What is Pythagorean Theorem?
Pythagoras' theorem states that "the square of the hypotenuse side in a right-angled triangle is equal to the sum of the squares of the other two sides."
The angle of elevation is generated by the intersection of the horizontal line and the line of sight. If the line of sight is directed upward from the horizontal line, the resulting angle is an angle of elevation.
According to the given information:
Given that,
Initial angle of elevation = \(19.3^{0}\).
Final angle of elevation = \(32.3^{0}\).
Distance = \(126 feet\).
How to calculate the height (rise).
In order to determine the increase in height (rise) of the balloon, we would apply Pythagorean Theorem. Mathematically, this is given by this formula:
tan∅ = \(\frac{height}{adj}\)
height = adjacent \(*\) tan∅
At an initial angle of elevation:
height \(=126* tan 19.3^{0} \\= 126 * 0.3501\\= 44.11 feet\)
At a final angle of elevation:
height \(=126* tan 32.3^{0} \\= 126* 0.6321\\= 79.64 feet\)
For the change in height:
Δh \(= 79.64-44.11\\=35.53 feet\)
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What are the interest cost and the total amount due on a six-month loan of $1,800 at 14.4 percent simple annual interest
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Principal (P)= $1,800
Number of periods (t)= 6 months
Monthly interest rate (r)= 0.144/12= 0.012
To calculate the interest to be paid and the total amount due, we need to use the following formula:
I= P*r*t
I= 1,800*6*0.012
I= $129.6
Total amount= $1,929.6
3. The West Rock School District ordered
118 cartons of math books. The books
were shipped in cartons that each held
36 books.
A. Estimate the total number of math
books in the shipment. Write an
equation to model your work.
Answer:
4000 or 4800
Step-by-step explanation:
118 turns into 120
and 36 turns into 40
120x40=4800
or 118 turns into 100
and 36 turns into 40 meaning the ansar would be 4000
Answer:
4000 for sure
I had this question before
The length of a towel is 75 cm. How long is the towel in inches. Round to the nearest hundredth, if necessary.
Answer:
Below.
Step-by-step explanation:
Convert from cm to inch divide by 2.54. 75/2.54= 29.5276...
Rounded to: 29.53 inches.
solve the system of equations for one of the variables x+4y=5 x-4y=5
Answer:
x=5 y=0
Step-by-step explanation:
cancel out the 4y's and then add the x's together. also add the 5s together. 2x = 10, x = 5, and plug it in, and 5 cancels out, leaving y by itself.
perimiter question asap answer
The perimeter of the figure is 58 m.
To find the perimeter of the given figure we can divide the figure in three rectangles.
Rectangle 1:
Perimeter= 2 (l + w)
= 2(5 + 2)
= 2 x 7
= 14 m
Rectangle 2:
Perimeter= 2 (l + w)
= 2(5 + 1)
= 2 x 6
= 12 m
Rectangle 3:
Perimeter= 2 (l + w)
= 2(14 + 2)
= 2 x 16
= 32 m
So, the perimeter of the figure is
= 14 + 12 + 32
= 58 m
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Which of the following sets of ordered pairs represents a function? PLEASE HELP
The set of ordered pairs that represents a function is (D) {(-6, -3), (-4, -3), (-3, -3), (-2, -3), (0, 0)}.
A set of ordered pairs represents a function if each unique input (x-value) is associated with only one output (y-value).
{(-4, -3), (-2, -1), (-2, 0), (0, -2), (0, 2)}
In this set, both (-2, -1) and (-2, 0) have the same x-value but different y-values. Therefore, this set does not represent a function.
{(-5, -5), (-5, -4), (-5, -3), (-5, -2), (-3,0)}
In this set, all the ordered pairs have the same x-value (-5). Since (-5, -5), (-5, -4), (-5, -3), and (-5, -2) have the same x-value but different y-values, this set does not represent a function.
{(-4, -5), (-4, 0), (-3, -4), (0, -3), (3, -2)}
In this set, (-4, -5) and (-4, 0) have the same x-value but different y-values. Therefore, this set does not represent a function.
{(-6, -3), (-4, -3), (-3, -3), (-2, -3), (0, 0)}
In this set, each unique x-value is associated with a single y-value. There are no repeated x-values. Therefore, this set represents a function.
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The tape diagram represents an equation.
15
15
x
x
23
23
Find the value of
x
xx that makes the equation true.
x
=
x=x, equals
The response we have is as follows to the query that was asked 6 is the value of x that causes the equation to be correct equation .
What is equation?A mathematical equation is a process that links two statements and indicates equality with the equals sign (=). A mathematical assertion that proves the equality of two equations in mathematics is known as an equation in algebra. For instance, the equal sign separates the numbers 3x plus 5 and 14 in the equation 3x + 5 = 14. A mathematical formula can be used to understand the relationship that exists between both of the phrases that on opposite sides of a letter. Sometimes, the logo along with the particular program are identical. as in 2x - 4 = 2, for example.
Two equal groups of 15 and two equal groups of 23 are shown on the tape diagram, and x is used to symbolize an unknown value. In algebra, this is written as:
2(15) + 2(23) = x
30 + 46 = x
76 = x
As a result, 76 is the value of x that causes the equation to be correct.
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3x = 6+y
- 3х + y = -6
Answer:
x=2
y=0
hope its helpfull to uh...
Answer:
x=2 y=0
Step-by-step explanation:
Find the value of x so that the function has the given value.
q(x)=13x−2; q(x)=−4
Answer:
q(X)=_4
now
=13×_4_2
=52_2
=50
Answer:
-2/13
Step-by-step explanation:
13x-2=-4
13x=-4+2
13x=-2
x=-2/13
On a number line, point C is at 8, and the midpoint E of CD is at -3.
Point D is at
on the number line.
Answer: C
Step-by-step explanation:
Point D is at -14 on the number line.
How to determine the midpoint of a line segment?In Mathematics, the midpoint of a line segment with two end points can be calculated by adding each end point on a line segment together and then divide by two (2).
Since E is the midpoint of line segment CD, we can logically deduce the following relationship:
Line segment CD = Line segment C + Line segment D
Midpoint E = (point C + point D)/2
By substituting the given points into the equation above, we have the following:
-3 = (8 + D)/2
-6 = 8 + D
D = -6 - 8
D = -14
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Someone help me please and thank you
Answer: 2a < 2b
Step-by-step explanation:
We are given a statement:
a < b and b < c, then 2a ____ 2b
We can use simple numbers that make the statement true.
Where,
a = 2
b = 3
c = 4
Now lets plug it in.
2 < 3 and 3 < 4, then 2(2) ____ 2(3)
and lets simplify:
2 < 3 and 3 < 4, then 4 ____ 6
We can see that 4 is less than 6,
so as a is less than b, 2a is less than 2b.
The only thing changing is the coefficient being multiplied by the variables a and b.
PLEASE HELP FAST!!!!!!
What is the volume of the right pyramid?
Answer options with 5 options
A.
186 and 2-thirds centimeters cubed
B.
84 centimeters cubed
C.
25 centimeters cubed
D.
23 and 1-third centimeters cubed
E.
18 and 2-thirds centimeters cubed
The volume of the right pyramid is 23 1/3 cm³. The correct option is E,
Given that the length of the side of the right pyramid is 3.75 cm, While the height of the pyramid is 5 cm. Therefore, the volume of the given right pyramid is:
Volume = (1/3) × (side length)² × Height
= (1/3) × (3.75 cm)² × 5 cm
= 23.33 cm³
= 23 1/3 cm³
Hence, the volume is 23 1/3 cm³.
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The complete question must be:
What is the volume of the right pyramid with the base lenght of 3.75 cm and height of 5cm?
A. 186 and 2-thirds centimeters cubed
B. 84 centimeters cubed
C. 25 centimeters cubed
D. 23 and 1-third centimeters cubed
E. 18 and 2-thirds centimeters cubed
noah entered a bike race.He used his red bike because he read that red vehicles get speedjng tickets most often. He rode 32 miles in 160 minutes. How many minutes did it take him to cover 1 min?
Help me out. Struggling
Answer:
YES
Step-by-step explanation:
A statement of an employee's biweekly earnings is given below.
Earnings
Deductions
Week Ended
Regular
FED. SOC. MED STATE
WITH. WITH. CARE. WITH.
NET PAY
8/18
$_____
$72.00 $35.05 $15.54 $14.40
$793.01
What is the employee's gross pay?
A.
$900.50
B.
$1000
C.
$930
D.
$975.10
Answer:
kjj ,mStep-by-step explanation:
What are the solutions to the system of equations? y = 1/2 * x ^ 2 - 4; y = x - 4 Graph the system of equations to solve. (0, - 4) and (2, - 2); (- 2.75, 0) and (2.75, 0); (2, - 2) and (4, 0); (4, 0) and (0, - 4)
The graph of a system of two equations is a pair of lines in the plane for the two variables (x and y).
What is meant by system of equations?Simple sets of two or more linear equations make up a system of linear equations. A system of two equations has a graph that is a pair of lines in the plane for two variables (x and y).
Equations with the same variables are grouped together as systems of equations. The only difference is that you're using inequalities as opposed to equations when working with a system of inequalities. To resolve such a system, you must identify the values of the variables that will cause each inequality to be true simultaneously.
The first equation:
\($y=\frac{1}{2} x+3$$\)
\($5 \stackrel{?}{=} \frac{1}{2}(4)+3 \quad$\)
Plug in x = 4 and y = 5
5 = 5
The second equation:
y = x + 1
\($5 \stackrel{?}{=} 4+1 \quad$\) Plug in x = 4 and y = 5
5 = 5
(4,5) is indeed a solution.
Therefore, the correct answer is option b) (- 2.75, 0) and (2.75, 0).
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PLZ HELP!!! NO LINKS OR NON-ANSWERS!!!!!!!
I literally just did this lol ( b d and e) i did it on paper
Branliest will be helpful
Thx
Bean seeds from supplier A have 85% germination rate and those from supplier B have 75% germination rate. A seed-packing company purchases 40% of its seed from A, 60% from B, and mix them together. Find the probability that a seed selected at random from the mixed will germinate.
Answer:
0.79 = 79% probability that a seed selected at random from the mixed will germinate.
Step-by-step explanation:
Probability of a seed germinating:
85% of 40%(from company A)
75% of 60%(from company B)
Then
\(P = 0.85*0.4 + 0.75*0.6 = 0.79\)
0.79 = 79% probability that a seed selected at random from the mixed will germinate.
Kimberly can paint 8.5 ft.² in half an hour Jody can paint 12 ft.² in 40 minutes who is the faster painter
Solution
For this case we can calculate the following ratio:
Kimberly
\(\frac{8.5ft^2}{30\min}=0.283\frac{ft^2}{\min }\)Jody
\(\frac{12ft^2}{40\min}=0.3\frac{ft^2}{\min }\)therefore the best answer for this case is:
Jody
During the construction of a road a mountain of 250 metres in height, through it will be the construction of a tunnel. The top of the mountain is seen at an angle of 48°30' from a point P at one end of the mountain, and at an angle of 38° from the other end. How long will this tunnel be?
Answer:
542.74 m
Step-by-step explanation:
Tan(48.3) = 250/a Multiply by a
a*tan(48.3) = 250 Divide by tan(48.3)
a = 250/Tan(48.3)
a =222.74
By a similar method b = 250/tan(38)
b = 319.99'
The total length =542.73 meters
What is the area of the trapezoid?
Use the figure to find the measures of the numbered angles. Explain your reasoning
The measures of the numbered angles are as follows:
3.
m∠1 139°m∠2 = 41°m∠3 = 139° m∠4 = 139° m∠5 = 41°m∠6 = 139°m∠7 = 41°4.
m∠1 = 117° m∠2 = 63°m∠3 = 117°m∠4 = 63° m∠5 = 117° m∠6 = 63° m∠7 = 63° How to find measures of angles?When parallel lines are cut by a transversal line, angle relationships are formed such as alternate angles, corresponding angles, linear angles, vertically opposite angles etc.
Therefore, line a and b are parallel to each other. The transversal line t cut the parallel lines.
Hence,
3.
m∠1 = 180 - 41 = 139° (angles on a straight line)
m∠2 = 41° (vertically opposite angles)
Vertically opposite angles are congruent.
m∠3 = 139° (vertically opposite angles)
m∠4 = 180 - 41 = 139° (same interior angles)
Same interior angles are supplementary.
m∠5 = 41° (same interior angles)
m∠6 = 139° (vertically opposite angles)
m∠7 = 41° (vertically opposite angles)
4.
m∠1 = 117° (alternate exterior angles)
Alternate exterior angles are congruent
m∠2 = 180 - 117 = 63° (sum of angles on a straight line)
m∠3 = 117° (vertically opposite angles)
m∠4 = 63° (vertically opposite angles)
m∠5 = 117° (vertically opposite angles)
m∠6 = 180 - 117 = 63° (sum of angles on a straight line)
m∠7 = 63° (vertically opposite angles)
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Three triangles are drawn on the same piece of paper such that no two sides are on the same line. What is the maximum number of points of intersection of the three triangles?
Answer:
6
Step-by-step explanation:
A recipe calls for 2 cup of brown sugar for every 6 cups of white sugar. How many cups of brown sugar are required for every 12 cups of white sugar?
(PLEASE HELP!!)
There are 4 cups of brown sugar are required for every 12 cups of white sugar.
A recipe calls for 2 cups of brown sugar for every 6 cups of white sugar. We can set up a proportion to find the relationship between the two quantities:
2 cups brown sugar / 6 cups white sugar = x cups brown sugar / 12 cups white sugar
To find the number of cups of brown sugar required for 12 cups of white sugar, we can cross-multiply and then solve for x:
2 cups brown sugar × 12 cups white sugar = 6 cups white sugar × x cups brown sugar
24 cups brown sugar = 6x cups brown sugar
x = 24/6
x = 4
So, 4 cups of brown sugar are required for every 12 cups of white sugar.
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Use the following function rule to find f(11).
f(x)=12|x+8|
f(11)=____
Answer:
f(11) = 228
Step-by-step explanation:
B= R/E - T, solve for E
In preparation for Thanksgiving dinner Miss Waters orders in 18 pound turkey she decide that this will be enough to feed eight people how many pounds of turkey is she planning per person
Any help would be appreciated.
What is that for?
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