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geniusboy [140]

3 years ago

12

Suppose you invest $1400 at interest rate of 4.3% compounded continuously. How much will you have in the account after 7 years?

Round to the nearest dollar.

1 answer:

STatiana [176]3 years ago

3 0

$\bf ~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$1400\\ r=rate\to 4.3\%\to \frac{4.3}{100}\dotfill &0.043\\ t=years\dotfill &7 \end{cases} \\\\\\ A=1400e^{0.043\cdot 7}\implies A=1400e^{0.301}\implies A\approx 1891.69\implies \stackrel{\textit{rounded up}}{A=1892}$

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PLZ HELP!! A baseball has a diameter of 7.4 centimeters. Which of the following is closest to the surface area of the baseball?

Fynjy0 [20]

SA=4pir^2

d/2=r
d=7.4
7.4/2=3.7
SA=4pi3.7^2
SA=4pi13.69
SA=54.76pi
pi=3.14 for this question
SA=171.9464

closest one is B
172 cm^2

B IS ANSWER

6 0

3 years ago

A flashlight and battery sell together for $9. If the flashlight costs $5 more than the battery, what is the price of each item?

MatroZZZ [7]

The flashlight cost 7 dollars and the batter is 2 dollars

7 0

3 years ago

Read 2 more answers

Sasha is cutting a cake into 42 equal-sized pieces. If 14 people want cake, then they can each have 3 slices. And if 21 people w

kupik [55]

Answer:

k = 42

the constant of proportionality in this inverse variation is 42.

Step-by-step explanation:

Let x represent the number of people that want cake

And y the number of slices each can have;

Since x is inversely proportional to y;

x = k/y .....1

Where k is the proportionality constant;

To solve for k, we will substitute any of the case scenario given into equation 1.

If 14 people want cake, then they can each have 3 slices;

x = 14 , y = 3

substituting;

14 = k/3

k = 14 × 3 = 42

k = 42

the constant of proportionality in this inverse variation is 42.

Therefore,

x = 42/y

4 0

3 years ago

Please help <br><br> A. 13<br> B. 26<br> C. 40<br> D. 36<br> D. 41

Morgarella [4.7K]

The value of x is 26.

4 0

3 years ago

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Write the equation of a line that is parallel to 3x+2y=10 and passes through the point (4,-5). Answer in slope-intercept form.

SCORPION-xisa [38]

The equation of line is:

$y = \frac{-3}{2}x+1$

Further explanation:

The standard form of equation in point-slope form is:

$y = mx+b$

Given equation is:

3x+2y=10

We have to convert it into point slope form, for which we have to isolate y on one side of equation

$3x+2y = 10\\2y = -3x +10\\y = \frac{-3}{2}x + \frac{10}{2}\\y = \frac{-3}{2}x + 5$

Comparing with standard form:

m = -3/2

As the new line is parallel to given line, their slopes will be equal

So,

$y = \frac{-3}{2}x+b$

To find the value of b, putting the given point (4,-5) in equation

$-5 = \frac{-3}{2}(4)+b\\-5 = -6+b\\b = -5+6 \\b = 1\\So\ the\ equation\ is:\\y = \frac{-3}{2}x+1$

Keywords: Point-slope form, equation of line

Learn more about point-slope form of equation at:

#LearnwithBrainly

4 0

3 years ago