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3 years ago

14

A cable company had 132 subscribers. The ratio of regular subscribers to premium subscribers was 3:8. How many regular subscribe

rs did they have?

2 answers:

svp [43]3 years ago

7 0

Answer:

49.5

Step-by-step explanation:

vampirchik [111]3 years ago

3 0

Answer: 49.5 ~50

Step-by-step explanation: 132/8=16.5 16.5(3)=49.5

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Suppose you have $10,000 to invest. Which investment yields the greater return over 7 years: 6.6% compounded monthly or 6.7% com

joja [24]

Answer:

C) $10,000 invested at 6.7% compounded quarterly over 7 years yields the greater return.

Step-by-step explanation:

-We determine the effective interest rate in both scenarios and use it to calculate the investment's value after 7 years.

#Given n=7yrs, P=$10,000 and i=6.6% compounded monthly:

$i_m=(1+i/m)^m-1\\\\=(1+0.066/12)^{12}-1=0.06803\\\\\therefore A=P(1+i_m)^n\\\\=10000(1.06803)^7\\\\\approx \$15,852.00$

#Given n=7rs, P=10000, i=6.7%

$i_m=(1+i/m)^m-1\\\\=(1+0.067/4)^{4}-1=0.06870\\\\\therefore A=P(1+i_m)^n\\\\=10000(1.06870)^7\\\\\approx \$15,921.75$

Hence, the investment has the largest value($15,921.75) when the interest rate is compounded quarterly.

8 0

3 years ago

Match each power of a power expression with its simplified expression.

VARVARA [1.3K]

Answer:

> $(4^6)^{-3}$ = $\frac{1}{4 ^ {18}}$

> $(4^{-3})^{-3}$ = $4 ^ 9$

> $(4^0)^{-9}$ = $4 ^0$

> $(-4^{-9})^2$ = $(-4) ^ {-18}$

Step-by-step explanation:

We have to expand the powers of each of them:

> $(4^6)^{-3}$ = $4^{(6 * -3)}$

= $4 ^ {-18}$

$(4^6)^{-3}$ = $\frac{1}{4 ^ {18}}$

> $(4^{-3})^{-3}$ = $4 ^ {(-3 * -3)}$

$(4^{-3})^{-3}$ = $4 ^ 9$

> $(4^0)^{-9}$ = $4 ^ {(0 * -9)}$

$(4^0)^{-9}$ = $4 ^0$

> $(-4^{-9})^2$ = $-4 ^ {( -9 * 2)}$

$(-4^{-9})^2$ = $-4 ^ {-18}$

8 0

3 years ago

Read 2 more answers

When a number is tripled,the results is -33

defon

Answer:

x = -11

Step-by-step explanation:

Considering tripled means multiplied by 3 because of tri, we know that we can use the equation 3x = -33.

To solve this we can divide both sides by 3:

3x = -33

x = -11

This gives our answer of -11.

4 0

3 years ago

Two is eight less than twice a number. What is the number?

Mekhanik [1.2K]

Answer:

x = 5

Step-by-step explanation:

First, break it down:

Two is eight less than twice a number

2 = 2x - 8

+8 + 8

10 = 2x

5 = x

Hope this helps :)

3 0

3 years ago

Work out the lengh of RS <br> gue your answer to 3 significant figures

atroni [7]

Answer:

RS ≈ 5.83 units

Step-by-step explanation:

Calculate RS using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = R(- 3, 1) and (x₂, y₂ ) = S(2, 4)

RS = $\sqrt{(2+3)^2+(4-1)^2}$

= $\sqrt{5^2+3^2}$

= $\sqrt{25+9}$

= $\sqrt{34}$ ≈ 5.83 ( to 3 significant figures )

8 0

3 years ago