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Marta_Voda [28]
3 years ago
9

Henry deposited $420 into a savings account. There is a $5.00 per month service fee on the account. Also, Henry decides he wants

to withdraw $25 a week for spending money. In how many months will Henry run out of money? A) 3 months Eliminate B) 4 months C) 5 months D) 6 months
Mathematics
2 answers:
yaroslaw [1]3 years ago
7 0
Equation would be 420 - 5m - 25w so the answer would be B. 4 months
Volgvan3 years ago
5 0

Answer:

Step-by-step explanation:

Given that Henry  deposited $420 into a savings account. There is a $5.00 per month service fee on the account. Also, Henry decides he wants to withdraw $25 a week for spending money.

Let us convert everything into days.

30 days a month and 7 days in a week

Service charges for 30 days = 5

withdrawn amount for 7 days = 25

Let x be the total no of days

Then \frac{25x}{7} +\frac{5x}{30}= 420\\\\750x+35x=420(7)(30)\\785x=420(7)(30)\\x=112.3567

i.e. between 3 and 4 months

We can say in 3 months this will be exhausted.

Option A

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Mariana [72]

7. Loan amount = $12000

Monthly payment = $380

Duration of the repayment = 3 years = 3(12) = 36 months.

Total amount Jason repaid = 36 × 380 = 13680

Interest on loan amount = amount repaid - loan amount

= 13680 - 12000

= 1680

Hence, total amount Jason paid in interest on loan = $1680 and the correct option is (D).


8. Loan amount = $35000

Monthly payment = $315

Duration of the repayment = 10 years = 10(12) = 120 months.

Total amount Gerald repaid = 120 × 315 = 37800

Interest on loan amount = amount repaid - loan amount

= 37800 - 35000

= 2800

Hence, total amount Gerald paid in interest on loan = $2800 and the correct option is (B).

3 0
3 years ago
Diane has 386 coins in her coin collection. There are a total of 112 nickels and 61 dimes in her collection the remaining coins
Dafna1 [17]
Diane has 380 coins (rounded to the nearest 10)
7 0
3 years ago
Someone please help.
Alexxandr [17]

Hi there!

f(x)+f(x+1)=4f(x)

There are 3 parts to this equation:

f(x)

f(x+1)

4f(x)

We must first determine these three parts separately.

<u>1) f(x)</u>

We're given that  f(x)=3^x:

⇒ f(x)=3^x:

<u>2) f(x+1)</u>

Now, we must find f(x+1). To do so, add 1 to x in the original function f(x)=3^x:

⇒ f(x+1)=3^x^+^1

<u>3) 4f(x)</u>

To find 4f(x), multiply the original function f(x)=3^x by 4:

4f(x)=4*3^x:

<u>4) Put it all together</u>

Now, plug each of the three parts into the equation f(x)+f(x+1)=4f(x):

f(x)+f(x+1)=4f(x)

3^x+3^x^+^1=4*3^x\\3^x+3^x*3=4*3^x

Factor the left side

3^x*(1+3)=4*3^x

Divide both sides by 3^x

1+3=4\\4=4

Because this equation is true, f(x)+f(x+1)=4f(x) is therefore true.

I hope this helps!

3 0
3 years ago
Please help I don't understand I need an answer ASAP
Simora [160]

Answer:

B = 48

Step-by-step explanation:

You are given that the two vertical lines are parallel. That means that the alternate interior angles are  equal (they form a Z shape).

So the given is that A = B

A = 5x - 12

B = 2x + 24

Solution

5x - 12 = 2x + 24

5x - 12 = 2x + 24 + 12

5x = 2x + 36

5x - 2x = 36

3x = 36

x = 36/3

x = 12

================

B is

B = 2x + 24

B = 2*12 + 24

B = 24 + 24

B = 48

5 0
3 years ago
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A committee must be formed with 2 teachers and 3 students. If there are 10 teachers to choose from, and 13 students, how many di
SIZIF [17.4K]

Answer:

12870 ways

Step-by-step explanation:

10c2*13c3

10!/(10-2)!2! *13!/(13-3)!3!

[(10*9*8!)/8!*2*1] *[(13*12*11*10!)/10!*3*2*1]

45*286

12870 ways

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2 years ago
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