3 years ago

How to write into an equation

Mathematics

1 answer:

Rama09 [41]3 years ago

5 0

$\bf \stackrel{\textit{sum of 22 and \underline{g}ail's height}}{22+g}~~\stackrel{is}{=}~~74\implies 22+g=74$

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What interest rate, to the nearest tenth of a percent, that is required for an investment subject to continuous compounding to i

Sunny_sXe [5.5K]

Answer:

It will take an interest rate of 8.1% to get 150% of the initial investment in just 5 years.

Step-by-step explanation:

Use the formula for continuous compounding

$X(t) = Pe^{rt}$

where r stands for the (annual) interest rate, t for time in years, P for the initial principal (investment) and X is the amount after t years.

(this formula can be beautifully derived from just basic considerations, btw)

We are given t=5, and percent increase on the initial P, so we can solve for r

$X(5) = 1.5P=Pe^{r\cdot5}\\1.5=e^{r\cdot5}\\\ln 1.5=\ln e ^{5r}\\\ln 1.5=5r\\r = \frac{\ln 1.5}{5}=0.081\rightarrow 8.1\%$

It will take an interest rate of 8.1% to get 150% of the initial investment in just 5 years.

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3 years ago

Casey bought 9 tickets to a concert. After a $5 service charge, the total cost was $131. Write and solve an equation to find the

Inessa05 [86]

Answer: 14

Step-by-step explanation:

131 (total cost of tickets)- 5 (service charge) = 126 cost of tickets

126/9= 14 dollars a ticket

(c= cost)

131-5=c

126/9=14

Hope this helped

3 0

2 years ago

What dose this mean ???

Lera25 [3.4K]

Ummm i don’t know sorry

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2 years ago

What is the measure of Angle A in the triangle shown?<br> ___ degrees

Triss [41]

Answer:

Step-by-step explanation:

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3 years ago

Which statement is true?

Crank

The answer is neither because to be complementary they need to equal 90 degrees and to be supplementary the need to equal 180 degrees. The sum of the two angles equals 169 degrees.

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3 years ago