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2 years ago

What is the solution of RootIndex 3 StartRoot x + 8 EndRoot = negative 4?

Mathematics

2 answers:

erica [24]2 years ago

5 0

Answer: First option.

Step-by-step explanation:

Given the following equation provided in the exercise:

$\sqrt[3]{x+8}=-4$

You can follow the steps indicated below in order to find the solution of this equation:

1. Cubing both sides of the equation, you get:

$(\sqrt[3]{x+8})^3=(-4)^3\\\\x+8=-64$

2. Finally you must subtract 8 from both sides of the equation:

$x+8-8=-64-8\\\\x=-72$

You can notice that this solution matches with the first option.

julia-pushkina [17]2 years ago

5 0

Answer:

x = -72

Step-by-step explanation:

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Amanda is placing an order for running shoes and leather boots for her footwear boutique. She needs a total of 48 pairs of shoes

Basile [38]

Constraint 1:

Let the total number of running shoes be = R

Let the total number of leather boots be = L

As the given number of total shoes are 48,

The equations becomes,

R + L = 48............(1)

Constraint 2:

As running shoes are twice the leather boots, equation becomes,

R = 2L..............(2)

Putting the value of R from equation(2) in equation (1)

$2L+ L=48$

$3L=48$

$L=16$

Now putting the value of L in equation(2)

R= 2L

R = $2*16$

R=32

Hence, Amanda needs 16 pairs of leather boots and 32 pairs of running shoes.

4 0

2 years ago

9400 dollars is placed in an account with an annual interest rate of 6.25%. To the nearest tenth of a year, how long will it tak

liubo4ka [24]

Answer:

$t=64.2\ years$

Step-by-step explanation:

we know that

The simple interest formula is equal to

$A=P(1+rt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=?\ years\\ P=\$9,400\\ A=\$47,100\\r=6.25\%=6.25/100=0.0625$

substitute in the formula above

$47,100=9,400(1+0.0625t)$

solve for t

$t=[(47,100/9,400)-1]\0.0625$

$t=64.2\ years$

6 0

2 years ago

A house is being purchased at the price of $138,000.00. The 30-year mortgage has a 10% down payment at an interest rate of 4.875

Mama L [17]

Answer:

$238,600

Step-by-step explanation:

The amount being borrowed is 100% -10% = 90% of the purchase price, or ...

0.90 × $138,000 = $124,200.

Then the monthly payment can be computed using the amortization formula:

A = P(r/12)/(1 -(1 +r/12)^(-12t))

A = 124200(.04875/12)/(1 -(1 +.04875/12)^(-12·30)) ≈ 657.28

and the total repaid is ...

(360 months) × ($657.28/month) = $236,619.58*

The cost of mortgage insurance is considered part of the cost of the loan. That amount is ...

(77 months) × ($25.88/month) = $1992.76

so the total amount paid for the loan is ...

$236,619.58 +1992.76 = $238,612.34

The cost of the loan is about $238,600.

_____

* In figuring the total repayment cost, we used the full-precision value for the loan payment. The actual repayment amount will depend on the rounded value of the loan payment and the way the final payment is made. When rounded to the nearest $100, these details become unimportant.

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2 years ago

Which geometric object is defined as the set of all points in a plane equidistant from a single point and a single line?

Reptile [31]

Answer: parabola

Step-by-step explanation:

7 0

2 years ago

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A waitress works 1.75 hours less in the afternoon than in the evening. If she works 5 1/8

gayaneshka [121]

Let $x$ be the number of hours that the waitress works in the evening.

We know for our problem that she works $5 \frac{1}{8}$ in the afternoon and that she works <span>1.75 hours less in the afternoon than in the evening, so:
</span> $x=5 \frac{1}{8} -1.75$
<span>Since </span> $\frac{1}{8} =0.125$ , we can rewrite our expression:
$x=5.125-1.75$
$x=3.375$

We can conclude that she works 3.375 hours in the evening, or expressed as a mixed fraction: $3 \frac{3}{8}$ hours.

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2 years ago