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polet [3.4K]
3 years ago
5

Alan borrowed $5,100 from his father to buy a car. He repaid him after 6 months with interest of 8%. Find the total amount he re

paid. Round to the nearest cent.
Mathematics
1 answer:
emmasim [6.3K]3 years ago
4 0
KAMMAAMNANANANANAMAMAMAMMAMAMAMAMAMAMMAAMMSMSMSMSMSMSMSMMWMSMSMSMSMSMSMSMS
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Find the area of a circle with a diameter of 10 ft.
densk [106]

Answer:

25π

Step-by-step explanation:

area of a circle π(r²)

diameter = 2r so we half the given diameter

radius = 5ft

5² = 25

so the answer is 25π

7 0
3 years ago
Read 2 more answers
You deposit $1500 in a bank account that pays 4% annual interest. Find the balance
Shkiper50 [21]

Answer:

$1,901.56

Step-by-step explanation:

A = 1,500 (1 + \frac{0.04}{12}) ^{12 x 6} \\\\    = 1,500 (1.0033)^{72}\\ \\    = 1,500 (1.2677)\\\\    = $1,901.56

4 0
3 years ago
Ari and Matthew are both running toward the soccer ball during a game.Ari's path is represented by the parametric equations x(t)
Tems11 [23]

Answer:

C. Ari and Matthew collide at 4.8 seconds.

Explanation:

Ari and Matthew will collide when they have the same x and y position. Since Ari's path is given by

x(t) = 36 + (1/6)t

y(t) = 24 + (1/8)t

And Matthew's path is given by

x(t) = 32 + (1/4)t

y(t) = 18 + (1/4)t

We need to make x(t) equal for both, so we need to solve the following equation

Ari's x(t) = Matthew's x(t)

36 + (1/6)t = 32 + (1/4)t

Solving for t, we get

36 + (1/6)t - (1/6)t = 32 + (1/4)t - (1/6)t

36 = 32 + (1/12)t

36 - 32 = 32 + (1/12)t - 32

4 = (1/12)t

12(4) = 12(1/12)t

48 = t

It means that after 48 tenths of seconds, Ari and Mattew have the same x-position. To know if they have the same y-position, we need to replace t = 48 on both equations for y(t)

Ari's y position

y(t) = 24 + (1/8)t

y(t) = 24 + (1/8)(48)

y(t) = 24 + 6

y(t) = 30

Matthew's y position

y(t) = 18 + (1/4)t

y(t) = 18 + (1/4)(48)

y(t) = 18 + 12

y(t) = 30

Therefore, at 48 tenths of a second, Ari and Mattew have the same x and y position. So, the answer is

C. Ari and Matthew collide at 4.8 seconds.

8 0
1 year ago
Please Answer This Question ASAP:<br> 1st One To Answer Correctly, I Will Mark As Brainliest.
Sedbober [7]

\huge \boxed{\mathfrak{Question} \downarrow}

  • Simplify ⇨ ( 3 x ^ { 2 } ) ^ { - 3 }

\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}

( 3 x ^ { 2 } ) ^ { - 3 }

Use the rules of exponents to simplify the expression.

\left(3x^{2}\right)^{-3}

To raise the product of two or more numbers to a power, raise each number to the power and take their product.

3^{-3}\left(x^{2}\right)^{-3}

Raise 3 to the power -3.

\longmapsto \: 3 ^{ - 3}  \\  =   \frac{1}{3}  \times  \frac{1}{3}  \times  \frac{1}{3}  \\  =  \frac{1}{27}

Now, the whole equation becomes..

\frac{1}{27}\left(x^{2}\right)^{-3}  \\

To raise a power to another power, multiply the exponents.

\frac{1}{27}x^{2\left(-3\right)}  \\

Multiply 2 times -3.

\frac{1}{27}\times \left(\frac{1}{x^{6}}\right)  \\

We can further simplify this to..

\frac{1}{27}  \times \left(\frac{1}{x^{6}}\right) \\  =  \frac{1}{27}  \times  \frac{1}{x ^{6} }  \\  =   \huge\boxed{ \boxed{\bf\frac{1}{27x^{6}}}}

6 0
2 years ago
Please help me.., thanks I will mark brainlest....
s2008m [1.1K]

Answer:

D) strong positive correlation

Step-by-step explanation:

strong positive The slope of the line is positive. Most of the points lie close to the line.


Hope this helped!

7 0
3 years ago
Read 2 more answers
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