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3 years ago

If you multiply each side of the equation 5x-3 =7/10 by 10 the result is an equivalent equation

Mathematics

1 answer:

Helga [31]3 years ago

8 0

Answer:

Answer in explanation

Step-by-step explanation:

Although , multiplying the both sides of the equation by 10 will yield same equation, it is still the necessary thing to do.

By multiplying both sides by 10, we can easily turn the fraction on the right hand side of the equation to an integer and then we can easily proceed to see the equation solved to completion.

This is the reason why it might be helpful to do this

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Capital Value Find the capital value of an asset that generates $7200 yearly income if the interest rate is as follows.

olganol [36]

a. An asset that generates $7200 yearly income if the interest rate 5% compounded continuously, then its capital value is $140433.002

b. An asset that generates $7200 yearly income if the interest rate 10% compounded continuously, then its capital value is $68460.59

Step-by-step explanation:

For continuously compound interest

$A = P \times e^{r t}$ ---------------> eq.1

Where

P = principal amount (initial investment)

r = annual interest rate (as a decimal)

t = number of years

A = amount after time t.

Let’s solve the equation

Where,

P is unknown

A = P + 7200 (asset after 1 year) ---------------> eq. 2

Case A:

$r=\frac{\text {interest rate}}{100}=\frac{5}{100}=0.05$

t = 1 (1 year)

Substitute all values in the formula (2) using the formula (1),

$P \times e^{(0.05)(1)}=P+7200$

$P \times e^{0.05}-P=7200$

$P\left(e^{0.05}-1\right)=7200$

$P(1.05127-1)=7200$

$P(0.05127)=7200$

$P=\frac{7200}{0.05127}=\$140433.002$

Case B:

$r=\frac{\text {interest rate}}{100}=\frac{10}{100}=0.10$

t = 1 (1 year)

Substitute all values in the formula (2) using the formula (1),

$P \times e^{(0.10)(1)}=P+7200$

$P \times e^{0.10}-P=7200$

$P\left(e^{0.10}-1\right)=7200$

$P(1.10517-1)=7200$

$P(0.10517)=7200$

$P=\frac{7200}{0.10517}=\$68460.59$

7 0

3 years ago

I NEED HELP ASAP ON NUMBER 7 and 8

Step2247 [10]

Number 7 I believe the answer is 74.

3 0

2 years ago

How do you write 118% as a fraction, mixed number, or whole number?

Keith_Richards [23]

Answer:

1 9/50

Step-by-step explanation:

So, /(100÷2) = 59/50 when reduced to the simplest form. As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 118/100 is also equal to 1 9/50 when expressed as a mixed number.

3 0

2 years ago

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Given f(x)=x2−2x−2, completing the square to solve for the function's zeros yields which of the following? A. (x−1)2=−2 B. (x−2)

LekaFEV [45]

Answer:

(x-1)² = 3

Step-by-step explanation:

Given f(x)=x²−2x−2

Completing x²−2x−2 = 0 to square

x²−2x − 2=0
x²−2x + 1 - 3 =0
(x - 1)² - 3 = 0
(x - 1)² = 3

Correct choice is D

7 0

3 years ago

PLEASE HELP I WILL MARK BRAINLIEST HAVE A GREAT DAY:)!!

faltersainse [42]

Answer:

F) 6/5

Step-by-step explanation:

6 divided by 5 = 6/5

7 0

3 years ago

Read 2 more answers