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2 years ago

14

you have 1000 to invest in an account and you need to have 1500 in one year what interest rate would you need to have in order t

o reach this goal if the amount is compounded quarterly round your answer to the nearest percent. Can someone help me please

1 answer:

Anna007 [38]2 years ago

3 0

Answer: 42.7%

Step-by-step explanation:

A = p (1+r/n)^nt

1500 = 1000 (1 + r/4)^4x1

r = 42.673

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A large brine tank containing a solution of salt and water is being diluted with fresh water.

kirza4 [7]

Answer:

41.04 g/L

Step-by-step explanation:

The relationship is modeled by the following function:

S(t) = 500*e^(-0.25*t)

where t is time elapsed after the dilution begins (in hours) and S(t) the concentration of salt in the tank (in g/L)

Replacing with t = 10

S(t) = 500*e^(-0.25*10)

S(t) = 41.04 g/L

6 0

3 years ago

Zach paid $56.50 including sales tax for a book priced at $45. What was the sales tax rate?

kondaur [170]

Answer:

25.56% or $11.50

Step-by-step explanation:

I took it and put it in a sales tax calc.

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2 years ago

ASAP—-what is the missing value

olga_2 [115]

Answer:

im sure its 139

Step-by-step explanation:

because you do 128 + 93 which is 221

next, you do 360 (triangle angles) then you do 360-221

which gives you 139!

hope it helped! =)

8 0

3 years ago

Prove the divisibility:<br><br>45^45·15^15 by 75^30

garri49 [273]

Answer:

$3^{75}$ .

Step-by-step explanation:

We have been an division problem: $\frac{45^{45}*15^{15}}{75^{30}}$ .

We will simplify our division problem using rules of exponents.

Using product rule of exponents $(a*b)^n=a^n*b^n$ we can write:

$45^{45}=(9*5)^{45}=9^{45}*5^{45}$

$15^{15}=(3*5)^{15}=3^{15}*5^{15}$

$75^{30}=(15*5)^{30}=15^{30}*5^{30}$

Substituting these values in our division problem we will get,

$\frac{9^{45}*5^{45}*3^{15}*5^{15}}{15^{30}*5^{30}}$

Using power rule of exponents $a^n*a^m=a^{n+m}$ we will get,

$\frac{9^{45}*5^{(45+15)}*3^{15}}{15^{30}*5^{30}}$

$\frac{9^{45}*5^{60}*3^{15}}{15^{30}*5^{30}}$

Using product rule of exponents $(a*b)^n=a^n*b^n$ we will get,

$\frac{(3*3)^{45}*5^{60}*3^{15}}{(3*5)^{30}*5^{30}}$

$\frac{3^{45}*3^{45}*5^{60}*3^{15}}{3^{30}*5^{30}*5^{30}}$

Using power rule of exponents $a^n*a^m=a^{n+m}$ we will get,

$\frac{3^{(45+45+15)}*5^{60}}{3^{30}*5^{(30+30)}}$

$\frac{3^{105}*5^{60}}{3^{30}*5^{60}}$

$\frac{3^{105}}{3^{30}}$

Using quotient rule of exponent $\frac{a^m}{a^n}=a^{m-n}$ we will get,

$\frac{3^{105}}{3^{30}}=3^{105-30}$

$3^{105-30}=3^{75}$

Therefore, our resulting quotient will be $3^{75}$ .

7 0

3 years ago

Isabel needs to cut a square piece of wood with the area of 70 in.² approximate the size of the square and round to the nearest

Alla [95]

Answer: 8.4 inch

Step-by-step explanation:

To find the size of the square, just find the square root of 70. Because the area of a square is the side length squared

$\sqrt{70}$ = 8.3666 rounded to the nearest 10th is 8.4 inch

5 0

3 years ago