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Tju [1.3M]
3 years ago
5

On Monday, three hundred ninety - two students went on a trip to the zoo. All nine buses were filled and five students had to tr

avel in cars. How many students were in each bus ?
Mathematics
1 answer:
Vikki [24]3 years ago
5 0
The answer to your question is 43
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A certain family can afford a monthly mortgage payment of $1,340.00. With an APR of 5.25% per annum, what is the maximum mortgag
irina [24]

Answer:

  $198,859.03

Step-by-step explanation:

The amortization formula is good for this. Fill in the given numbers and solve for the unknown.

 A = P(r/n)/(1 -(1 +r/n)^(-nt))

where A is the monthly payment, P is the principal amount of the loan, r is the annual interest rate, n is the number of times per year interest is compounded, and t is the number of years.

  1340.00 = P(0.0525/12)/(1 -(1 +0.0525/12)^(-12·20)) ≈ 0.00673844·P

  P ≈ 1340/0.00673844 ≈ $198,859.03

The family can afford a loan for $198,859.

4 0
2 years ago
Ann made 100 cookies this week. She baked 4 more than three times the total she made last week. How many cookies did she bake la
drek231 [11]
304

100x3=300 300+4=304
7 0
3 years ago
You are playing tennis with a friend.The path of the tennis ball after you return to a serve can be modeled by the function y=-0
Ivahew [28]
#1) 4.445 ft
#2) yes

Explanation
#1) The maximum height is the y-coordinate of the vertex.  We first find the axis of symmetry, given by x=-b/2a:

x=-0.17/2(-0.005) = -0.17/-0.01 = 17

Plugging this into the equation,
y=-0.005(17²)+0.17(17)+3 = 4.445

#2) Substituting 30 into the equation,
y=-0.005(30²) + 0.17(30) + 3 = 3.6

The ball will 3.6 in the air, so yes, it will clear the 3 ft tall net.
4 0
3 years ago
A couple needs $55,000 as a down payment for a home. If they invest the $40,000 they have at 4% compounded quarterly, how long w
slava [35]

Answer:

8 years

Step-by-step explanation:

Compound interest formula

A(t)= A_0(1+\frac{r}{n})^{nt}

A(t) is the final amount 55000

A_0= 40000, r= 4% = 0.04, for quarterly n=4

55000=40000(1+\frac{0.04}{4})^{4t}

divide both sides by 40000

1375=(1+\frac{0.04}{4})^{4t}

1375=(1.01)^{4t}

Take ln on both sides

ln(1375)=4tln(1.01)

divide both sides by ln(1.01)

\frac{ln 1375}{ln 1.01}=4t

Divide both sides by 4

t=8.00108

So it takes 8 years

8 0
3 years ago
What is the perimeter of the rectangle below 8 in 6 in 8 in 6 in
andre [41]
28 you take eight plus eight plus six plus six
4 0
3 years ago
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