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just olya [345]
3 years ago
8

If $1205 is borrowed for 11 years at an annual simple interest rate of 11.3%, what is the total

Mathematics
1 answer:
grandymaker [24]3 years ago
3 0

Answer:

$2,702.82

Step-by-step explanation:

The formula for simple interest is

I = Prt

where

I = interest amount

P = amount invested (the principal)

r = annual rate of interest

t = time in years

11.3% = 0.113 as a decimal

Now we use the formula to find the amount of interest earned.

I = $1,205 * 0.113 * 11

I = $1,497.82

The interest amount is $1,497.82.

Now we add the earned interest to the principal amount.

$1,205 + $1,497.82 = $2,702.82

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Theresa has two brothers,Paul and Steve, who are both the same height. Paul says he is 16 inches shorter than 1 1/2 times Theres
shepuryov [24]

Answer:

Theresa's height is 60 inches

Step-by-step explanation:

The given parameters are;

The height of Paul = The height of Steve

Paul's height = 1\dfrac{1}{2} times Theresa's height - 16 inches

Steve's height = 1\dfrac{1}{3} times Theresa's height - 6 inches

Let 'T' represents Theresa's height, we have;

Paul's height = 1\dfrac{1}{2} ×T - 16

Steve's height = 1\dfrac{1}{3} ×T - 6

Paul's height = Steve's height

Therefore;

1\dfrac{1}{2} ×T - 16 = 1\dfrac{1}{3} ×T - 6

1\dfrac{1}{2} ×T - 1\dfrac{1}{3} ×T = 10

#\dfrac{3}{2} ×T - \dfrac{4}{3} ×T = 10

\dfrac{1}{6} ×T = 10

T = 10 × 6 = 60

Theresa's height, T = 60 inches

5 0
3 years ago
A set has 62 proper subsets how many elements has it for?<br>​
MrRissso [65]

Answer:

6

Step-by-step explanation:

Total number of subsets is given as

{2}^{n}

But the subset of a set consists of the proper subsets, an empty set and the set itself.

Total number of subsets are 64

Therefore,

{2}^{n}  = 64

{2}^{n}  =  {2}^{6}

Comparing both sides

n = 6

5 0
3 years ago
The volume of the cylinder above is 2,314.25, and the radius of the base is 8.9 Find the volume of the cone.
olga55 [171]

Answer: 771.41\ units^3

Step-by-step explanation:

The missing figure is attached.

The volume of an oblique cylinders and the volume of  a right cylinder can be found with this formula:

V_{cy}=\pi r^2h

Where "r" is the radius and "h" is the height.

The volume of an oblique cone and the volume of  a right cone can be found with this formula:

V_{co}=\frac{1}{3}\pi r^2h

Where "r" is the radius and "h" is the height.

According to the information given in the exercise, you know that the volume of the cylinder and also the radius of the cylinder and the cone ,are the following:

V_{cy}=2,314.25\ units^3\\\\r=8.9\ units

Therefore, in order to find the volume of the cone, you only need to multiply the volume of the cylinder by \frac{1}{3}.

Then, you get:

V_{co}=\frac{1}{3}(2,314.25\ units^3)\\\\V_{co}=771.41\ units^3

8 0
3 years ago
Read 2 more answers
Reflect the point in a the x- axis and b the y-axis (-2,6)
avanturin [10]
If you were to reflect them, the answer would be the same numbers with the opposite sign. Therefore, the answer should be (2,-6) hope that helped!!!!
3 0
4 years ago
1. Multiply 5x by (3x+2) *​
Umnica [9.8K]

Answer:

5x (3x +2)

15x² + 10X

7 0
3 years ago
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