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wariber [46]
3 years ago
14

An investment of $5000 earns $6000 simple interest in 12 years. Calculate the interest rate.

Mathematics
1 answer:
adoni [48]3 years ago
4 0

Answer:

10%

Step-by-step explanation:

To solve this problem we can use a modified version of the simple interest formula which is shown below:

r=\frac{I}{Pt}

<em>I = interest amount </em>

<em>P = principal amount </em>

<em>t = time (years) </em>

Lets plug in the values:

r=\frac{6000}{(5000)(12)}

r=0.1

The last step is to convert 0.1 into a percent:

0.1(100) = 10

The interest rate is 10%

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Jamie purchased a condo in Naples, Florida, for $699,000. She put 20% down and financed the rest at
ololo11 [35]

By applying the formulas of present and future values of annuity we can solve this problem. In this mortgage problem, first we have to find loan amount after the down payment. It is 699,000 - 699,000 * 0.2 = 559,200$. We have to set it as PV (Present Value) of annuity. Using the PV formula PV = A \frac{[1- \frac{1}{(1+r)^{N}}]}{r}, we first find A, which is an annual payment. Exact calculation with mortgage calculator gives us A = 33,866.56$. After finding it, plugging this number into FV (Future Value) formula FV = A\frac{[(1+r)^{N}-1]}{r}, we find the value of the future value and it is 1,185,329.66$. And the total financial charge is 1,185,329.66 - 559,200 = 626,129.66$

6 0
3 years ago
Please help me with this question im too slow to answer
kakasveta [241]

Answer:

92

Step-by-step explanation:

w=7

x=4

y=8

z=1

8^2 + 2(4) + 3 (7) -1

64 + 2 * 4 + 3  * 7 -1

64 + 8 + 21 - 1

72 + 20

92

6 0
3 years ago
Read 2 more answers
3. A prop for the theater club’s play is constructed as a cone topped with a half-sphere. What is the volume of the prop? Round
Mariana [72]

The volume of the prop is calculated to be 2,712.96 cubic inches.

<u>Step-by-step explanation:</u>

Step 1:

The prop consists of a cone and a half-sphere on top. We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.

Step 2:

The volume of a cone is determined by multiplying  \frac{1}{3} with π, the square of the radius (r²) and height (h). Here we substitute π as 3.14. The radius is 9 inches and the height is 14 inches.

The volume of the cone :  V=\pi r^{2} \frac{h}{3} = 3.14 \times 9^{2} \times \frac{14}{3} = 1,186.92 cubic inches.

Step 3:

The area of a half-sphere is half of a full sphere. The volume of a sphere is given by multiplying  \frac{4}{3} with π and the cube of the radius (r³).

Here the radius is 9 inches. We take π as 3.14.

The volume of a full sphere =  V=\frac{4}{3} \pi r^{3} =  \frac{4}{3} \times 3.14 \times 9^{3} = 3,052.08 cubic inches.

The volume of the half-sphere =  \frac{3,052.08}{2} = 1,526.04 cubic inches.

Step 4:

The total volume = The volume of the cone + The volume of the half sphere,

The total volume = 1,186.92 + 1,526.04 = 2,712.96 cubic inches.

5 0
3 years ago
What is the value of x?​
Hatshy [7]

Answer:

x=84

Step-by-step explanation:

the sum of the angles in a pentagon is always 540 so do

540-131-108-107-110=84

8 0
2 years ago
Read 2 more answers
I don't know how to do this please help me!
VladimirAG [237]

Answer:

to find the equivalent positive angle of a negative angle, just add 360 to it until it becomes positive and is between 0 and 360 degrees. -244 + 360 = 116.

Step-by-step explanation:

7 0
2 years ago
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