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DochEvi [55]
3 years ago
5

Emma invested $41,000 in an account paying an interest rate of 2.6% compounded monthly. Assuming no deposits or withdrawals are

made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $49,300?
Mathematics
1 answer:
kvasek [131]3 years ago
8 0

Answer: it will take 7 years for the value of the account to reach $49,300

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1 + r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = $41000

A = $49300

r = 2.6% = 2.6/100 = 0.026

n = 12 because it was compounded 12 times in a year.

Therefore,

49300 = 41000(1 + 0.026/12)^12 × t

49300/41000 = (1 + 0.0022)^12t

1.2024 = (1.0022)^12t

Taking log of both sides of the equation, it becomes

Log 1.2024 = 12t × log 1.0022

0.08 = 12 × 0.00095 = 0.0114t

t = 0.08/0.0114

t = 7 years

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Andrews [41]

So, we have 4 cups of flour and 6 cups of sugar and we need to know how many cups of sugar per cup of flour does the recipe require. Because it is requested to know how many cups of sugar per cup of flour does the recipe require, we need to divide the amount of flour and sugar by the amount of flour, and we will know what we need to know.

4 cups of flour / 4 = 1 cup flour

6 cups of sugar / 4 = 6/4 = 3/2 = 1 1/2 cups of sugar per cup of flour is the solution

6 0
3 years ago
Help quickly please!!!
sineoko [7]

Answer:

M= -2

B=1

Step-by-step explanation:

<u><em>Y-intercept</em></u><em> is the point where the line crosses through the y line, so you can clearly see that that point is (0,1) we only write the y value because for a y intercept the x value will always be zero</em>

<em><u>Slope</u></em> <em>is the rise over run, meaning how much the y value changes over how much the x value changes, so for the two points we use our formula:</em>

\frac{y1-y2}{x1-x2}

<em>So now input how much it changes by adding the numbers from each coordinate:</em>

\frac{(-3)-(1)}{(2)-(0)}

<u>Simplify:</u>

<u />\frac{-4}{2}<u />

<em>But we write it as:</em>

-4/2

<em>This is because this looks more like division</em>

<u>Divide:</u>

-4/2=-2

So, your slope is <em><u>-2</u></em> and the y- intercept is <em><u>1</u></em>

I hope this helps u pls give a brainliest and a thx ;)

7 0
3 years ago
If middle school and senior school are winning football games in the ratio 3:9 . If the Middle school won 17 games, calculate ho
Helen [10]
The Middle school won 17 games so the senior school won 51 games

4 0
3 years ago
does anyone have the unit 3 expressions, equations, and inequalities unit test: B answer key. i really really need it. this is a
Vilka [71]

Answer:

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5 0
3 years ago
Write an equation of the line below
gregori [183]

Answer:

The equation of the line is:

y = 4x + 3

Step-by-step explanation:

We know that the slope-intercept of line equation is

y = mx+b

Where m is the slope and b is the y-intercept

Given the two points on a line

  • (0, 3)
  • (-2, -5)

Finding the slope between (0, 3) and (-2, -5)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(0,\:3\right),\:\left(x_2,\:y_2\right)=\left(-2,\:-5\right)

m=\frac{-5-3}{-2-0}

m=4

We know that the y-intercept can be computed by setting x=0 and determining the corresponding y-value.

From the graph, it is clear:

at x = 0, y = 3

Thus, y-intercept = b = 3

Substituting m = 4 and b = 3 in the slope-intercept form of line equation

y = mx+b

y = 4x + 3

Therefore, the equation of the line is:

y = 4x + 3

8 0
2 years ago
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