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sergejj [24]
3 years ago
10

Venus Waldo reviewed her account statement and wanted to verify that the interest amount was correct. Her new balance was $12,09

8.12 and her previous balance was $9,043.20. She had deposited $3,298.45 and withdrawn $300.00. Find the interest earned on Venus' savings account.
Mathematics
1 answer:
user100 [1]3 years ago
3 0

Answer:

The interest on the savings account is $46.47

Step-by-step explanation:

Here, we want to know the interest earned on the savings account.

The difference between the new and previous balance will be; 12,098.12 - 9,053.20 = $3,044.92

The difference between amount deposited and amount withdrawn is 3,298.45 - 300 = 2,998.45

This is the amount that is supposed to be on the account without interest

So the interest earned would be; 3044.92 - 2,998.45 = $46.47

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How to Become a Millionaire Upon graduating from col- lege, Donna has no initial capital. However, during each year she makes de
lesantik [10]

Answer:

amount is 1000 × e^{0.08t}

$40762.20 balance of Donna's account will be 1 million dollars when she retires in 40 years

rate 14.97 %  when Donna's account will have a balance of 1 million dollars in 40 years when principal is $2500

Step-by-step explanation:

principal = $1000

rate = 8 % = 0.08

to find out

the future value, S(t)

principal when Donna's account will be 1 million dollars when she retires in 40 year

at what rate Donna's account will have a balance of 1 million dollars in 40 years

solution

we know compounded continuously formula i.e.

amount = principal × e^{rt}    ..................1

put the value principal and rate in equation 1 to find amount any time

amount = principal × e^{rt}

amount = 1000 × e^{0.08t}

in 2nd part we have time 40 year and amount 1 million so put rate amount and time in equation 1  to find principal

rt = 0.08 × 40 = 3.2

amount = principal × e^{rt}

1000000 = principal × e^{3.2}

principal = 1000000 / e^{3.2}

principal = 1000000 / 24.5325302

principal = 40762.20397

so $40762.20 balance of Donna's account will be 1 million dollars when she retires in 40 years

in 3rd part we have amount 1 million and principal $2500 and time 40 year put all these in equation 1 to find rate

amount = principal × e^{rt}

1000000 = 2500 × e^{40r}

take ln both side

ln e^{40r} =  ln (1000000 / 2500 )

40 r = ln 400

r = ln (400) / 40

r = 0.149787

so rate 14.97 %  when Donna's account will have a balance of 1 million dollars in 40 years when principal is $2500

5 0
3 years ago
Find the inverse:<br> -3x+7y=14
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9514 1404 393

Answer:

  -3y +7x = 14

Step-by-step explanation:

The inverse relation is found by swapping the x- and y-variables. The relation that is the inverse of ...

  -3x +7y = 14 . . . . given relation

is

  -3y +7x = 14 . . . . inverse relation

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3 years ago
what is the curvature of my B I G Bal ls are they are stroking your face while you su ck my a n us? What is 5 times 5?
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<span>Often the university sites exist primarily for internal use, listing equipment and demos available to physics professors teaching large sections of introductory courses. They usually give lists of required equipment, they don't always give much information about setup, effective presentation and explanation of the physics.</span>
7 0
3 years ago
PLEASE HELP 30 POINTS!!!!!!!!!!!!!!!!!!!!!!!
Anettt [7]

Since you know the value of "x", you can plug in the value for "x" in the equation.

[When an exponent is negative, you move it to the other side of the fraction to make the exponent positive.]

For example:

x^{-2}  or  \frac{x^{-2}}{1} =\frac{1}{x^2}

\frac{1}{y^{-3}} =\frac{y^3}{1}  or  y³


x = -2

f(x) = 9x + 7

f(-2) = 9(-2) + 7 = -18 + 7 = -11


g(x)=5^x

g(-2)=5^{-2}=\frac{1}{5^2}=\frac{1}{25}   (idk if you should have it as a decimal or a fraction)



x = -1

f(x) = 9x + 7

f(-1) = 9(-1) + 7 = -9 + 7 = -2


g(x)=5^x

g(-1)=5^{-1}=\frac{1}{5}



x = 0

f(x) = 9x + 7

f(0) = 9(0) + 7 = 7


g(x)=5^x

g(0)=5^0=1



x = 1

f(x) = 9x + 7

f(1) = 9(1) + 7 = 9 + 7 = 16


g(x)=5^x

g(1)=5^1=5



x = 2

f(x) = 9x + 7

f(2) = 9(2) + 7 = 18 + 7 = 25


g(x)=5^x

g(2)=5^2=25



You need to determine the solution of f(x) = g(x)

Since you know f(x) = 9x + 7 and g(x)=5^x, you can plug in (9x + 7) for f(x), and (5^x) into g(x)


f(x) = g(x)

9x+7=5^x   You can plug in each value of x into the equation


Your answer is x = 2 because when you plug in 2 for x in the equation, you get 25 = 25

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3 years ago
There are 12 more apples than oranges in the basket of 36 apples and oranges. How
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Step-by-step explanation:

<h3><u>Required Answer</u><u>:</u><u>-</u></h3>
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Let

the number of oranges =x

The number of apples=x+12

<h3>ATQ </h3>

{:}\leadsto\sf x+x+12=36

{:}\leadsto\sf 2x+12=36

{:}\leadsto\sf 2x=36-12

{:}\leadsto\sf 2x=24

{:}\leadsto\sf x={\dfrac {24}{2}}

{:}\leadsto\sf x=12

  • Number of Apples =12+12=24
7 0
3 years ago
Read 2 more answers
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