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2 years ago

15

Whitney deposited $2,400,000 into an account in which interest is compounded quarterly at a rate of 2.9%. She made no other depo

sits or withdrawals. What was the amount after 12 years?
A $2,470,532.59

B $7,471,532.89

C $2,617,330.43

D $3,394,692.90

2 answers:

fiasKO [112]2 years ago

4 0

Answer:

Step-by-step explanation:

amount = principle* (1 + (r/n) ) ^ (n*t)

amount = 2,400,000*[ 1 + (0.029 / 4 ) ] ^ (.029*12)

amount = 2,400,000* [ 1 + .00725 ] ^0.348

amount = 2,406,0400

saul85 [17]2 years ago

4 0

The answer would be a I hope it helps let Me know if I’m wrong and I’ll fix it for you so you can have The right answer stay safe

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Over the course of a weekend, the temperature drops 14.2 degrees on Friday, rises 13 degrees on Saturday, and drops another 10.8

Vladimir79 [104]

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3 years ago

Mary Farmer purchased school supplies for $33.62, an atlas for $23.95, and a CD for $13.78 at Books Express. For all purchases s

ivann1987 [24]

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2 years ago

Read 2 more answers

Which is the sum of 3/10 and 1/3

Ilya [14]

Step-by-step explanation:

$\: \: \: \: \: \frac{3}{10} + \frac{1}{3} \\ \\ = \frac{3 \times 3}{10 \times 3} + \frac{1 \times 10}{3 \times 10} \\ \\ = \frac{9}{30} + \frac{10}{30} \\ \\ = \frac{19}{30} \\ \\ so \: as \: you \: see \: here \: we \: should \: put \: same \: denominator \\ \: for \: both \: fractions. \: hope \: this \: helps.. \\ good \: luck$

8 0

3 years ago

15x-7=2+12x I need help with this

Amanda [17]

Answer:

$\huge{ \boxed{ \bold{ \tt{x = 3}}}}$

<h3>♁ Question : Solve for x</h3>

15x - 7 = 2 + 12x

<h3>♁ Step - by - step explanation</h3>

$\text{15x - 7 = 2 + 12x}$

Move 12x to L.H.S ( Left Hand Side ) and change it's sign

➛ $\sf{15x - 12x - 7 = 2}$

Move 7 to R.H.S ( Right Hand Side) and change it's sign

➛ $\sf{15x - 12x = 2 + 7}$

Subtract 12x from 15x

Remember that only coefficients of like terms can be added or subtracted.

➛ $\sf{3x = 2 + 7}$

Add the numbers : 2 and 7

➛ $\sf{3x = 9}$

Divide both sides by 3

➛ $\sf{ \frac{3x}{3} = \frac{9}{3}}$

➛ $\boxed{ \bold{ \sf{x = 3}}}$

The value of x is $\boxed{ \sf{3}}$

✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄

☄ Now, let's check whether the value of x is 3 or not!

<h3>☥ Verification :</h3>

$\sf{15x - 7 = 2 + 12x}$

$\dashrightarrow{ \sf{15 \times 3 - 7 = 2 + 12 \times 3}}$

$\dashrightarrow{ \sf{45 - 7 = 2 + 36}}$

$\dashrightarrow{ \sf{38 = 38}}$

L.H.S = R.H.S ( Hence , the value of x is 3 ).

✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄

<h3>✒ Rules for solving an equation :</h3>

If an equation contains fractions ,multiply each term by the L.C.M of denominators.
Remove the brackets , if any.
Collect the terms with the variable to the left hand side and constant terms to the right hand side by changing their sign ' + ' into ' - ' and ' - ' into ' + ' .
Simplify and get the single term on each side.
Divide each side by the coefficient of variable and then get the value of variable.

Hope I helped!

Have a wonderful time ! ツ

~TheAnimeGirl

5 0

2 years ago

Mrs. Robinson, an insurance agent, earns a salary of $4,800 per year plus a 3% commission on her sales. The average price of a p

kap26 [50]

Answer:

$4800+183x\geq 8000$

She must sell at least 18 policies to make an annual income of at least $8,000

Step-by-step explanation:

Let $x$ be the number of policies Mrs. Robinson must sell

We know that Mrs. Robins makes 3% on commission for each policy sold. We also know that the average price of a policy is $6,100, so she makes 3% of $6,100 per policy sold. To find the 3% of $6,100 we just need to multiply 3% and $6,100; then dive the result by 100%:

$\frac{3*6,100}{100} =183$

Now we know that she makes $183 per policy sold. Since $x$ is the number of policies sold, $183x$ is her total commission for selling $x$ policies.

We also know that She makes $4,800 per year, so her total annual income is her salary plus her commissions, in other words:

$4800+183x$

Finally, we know that she wants to make at least $8,000, so her salary plus her commissions must be greater or equal than $8,000:

$4800+183x\geq 8000$

Let's solve the inequality:

1. Subtract 4800 from both sides

$4800-4800+183x\geq 8000-4800$

$183x\geq 3200$

2. Divide both sides by 183

$\frac{183x}{183} \geq \frac{3200}{183}$

$x\geq 17.48$

Since she can't sell a fraction of a policy, we must round the result to the next integer:

$x\geq 18$

We can conclude that she must sell 18 policies to make an annual income of at least $8,000.

7 0

3 years ago