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3 years ago

A principal of $3100 is invested at 5.5% interest, compounded annually. How much will the investment be worth after 7 years?

Mathematics

1 answer:

Ad libitum [116K]3 years ago

6 0

Answer:

$4501.51

Step-by-step explanation:

Because you're compounding annually, which is only once per year, you can use a simple formula:

$A(t)=P(1+r)^{t}$

Filling in our info gives us

$A(t)=3100(1+.055)^7$

Do the adding inside the parenthesis and then raise 1.055 to the 7th power to get

A(t)= 3100(1.454679161)

A(t)= $4509.51

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You begin with $25 in a savings account and $50 in your checking account. Each week you deposit $5 into savings and $10 into che

Phantasy [73]

Answer:

The amount in checking will always be twice in any week.

Step-by-step explanation:

Let's say, $w$ represents the week, $s$ represents the saving account and $c$ represents the checking account.

Balance in saving account in any week $=s=5w+25$

Balance in checking account in any week $=c=10w+50$

Translate the statement into mathematical equation. Remember to use " = " for word "is" in the given statement.

We have to find $w$ for $2s = c$ .

Putting the values, we have:

$2(5w+25)=10w+50$

$\Rightarrow \mathrm{True\:for\:all}\:w$

Which means in each week the amount in checking is twice the amount in savings.

Best Regards!

7 0

3 years ago

If Sabrina has seven letters, with no repeats, how many possible arrangements are there with the seven letters.

MissTica

Answer:

5040

Step-by-step explanation:

There are 7 possibilities for the first spot, 6 for the second, etc.

7*6*5*4*3*2*1=5040

3 0

2 years ago

Solve this equation. Enter your answer in the box.<br> 13(y+7)=3(y−1).

Fofino [41]

★To Solve :

$\rm\blue{13(y+7) = 3(y-1)}$

⠀⠀⠀⠀⠀

★SOLUTION :

$\rm\red\leadsto{13(y+7) = 3(y-1)}$

$\rm\red\leadsto{13\times{y}+13\times7= 3\times{y}-3\times1}$

$\rm\red\leadsto{13y+91=3y-3}$

$\rm\red\leadsto{13y-3y=-3-91}$

$\rm\red\leadsto{10y=-94}$

$\rm\red\leadsto{} y =\dfrac{ { \cancel{-94}}^{ \:-45 } }{ { \cancel{10}}^{ \: 5} }$

$\rm\red\leadsto{y=}\dfrac{-47}{5}$

____________________

5 0

3 years ago

Read 2 more answers

Hey can I have some quick help please?<br> Is the answer I chose correct?

Gennadij [26K]

Answer:

Yes, I am 99% sure your right.

8 0

3 years ago

Find the x and y intercepts for the following equation. 2x– 7y=-14

Kisachek [45]

Answer:

C: Xint = 2, Yint. = -7

Step-by-step explanation:

Given the equation, 2x - 7y = -14:

The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates (0, b). It is also the value of y when x = 0. To solve for the y-intercept, set x = 0:

2x - 7y = -14

2(0) - 7y = -14

0 - 7y = -14

-7y = -14

Divide both sides by -7 to solve for y:

-7y/-7 = -14/-7

y = 2

Therefore, the y-intercept = 2.

Next, the x-intercept is the point on the graph where it crosses the x-axis, and has coordinates, (a, 0). To find the x-intercept, set y = 0 and substitute into the given equation:

2x - 7y = -14

2x - 7(0) = -14

2x - 0 = -14

2x = -14

Divide both sides by 2 to solve for x:

2x/2 = -14/2

x = -7

x-intercept = -7.

Therefore, the correct answer is C: Xint = 2, Yint. = -7

Please mark my answers as the Brainliest if you find this helpful :)

7 0

2 years ago