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Rasek [7]
2 years ago
13

7 birds were sitting on a branch when a loud noise scared 4 of them away. What percentage of birds remained on the branch?

Mathematics
1 answer:
alexira [117]2 years ago
4 0
3/7 remaining is approximately equal to .428571
.4286 converts to 42.86\100 which equals 42.86%
3/7=42.86%
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Charlie cannot remember how much he financed to buy his car. He does remember that his monthly payment is $200. His add-on inter
Mazyrski [523]
First find the total payments
Total paid
200×30=6,000 (this is the future value)

Second use the formula of the future value of annuity ordinary to find the monthly payment.
The formula is
Fv=pmt [(1+r/k)^(n)-1)÷(r/k)]
We need to solve for pmt
PMT=Fv÷[(1+r/k)^(n)-1)÷(r/k)]
PMT monthly payment?
Fv future value 6000
R interest rate 0.09
K compounded monthly 12
N=kt=12×(30months/12months)=30
PMT=6000÷(((1+0.09÷12)^(30)
−1)÷(0.09÷12))
=179.09 (this is the monthly payment)

Now use the formula of the present value of annuity ordinary to find the amount of his loan.
The formula is
Pv=pmt [(1-(1+r/k)^(-n))÷(r/k)]
Pv present value or the amount of his loan?
PMT monthly payment 179.09
R interest rate 0.09
N 30
K compounded monthly 12
Pv=179.09×((1−(1+0.09÷12)^(
−30))÷(0.09÷12))
=4,795.15

The answer is 4795.15
5 0
3 years ago
What is the lateral surface area of a prism
Lesechka [4]

Answer:

The lateral area of a figure is the area of the non-base faces only.

I hope this helps you!

Step-by-step explanation:

3 0
3 years ago
Nathan usually drinks 36 ounces of water per day. He reads that he should drink 64 ounces per day. If he starts drinking 64 ounc
Paladinen [302]
Questions seems simple but is not

36 ==> 64

About 77% increase
4 0
3 years ago
What is the range of the function graphed below?<br> ABCD
AlexFokin [52]

Answer:

(-4 , 0] ∪ (2, ∞)

Last option

Step-by-step explanation:

Since range is included 2 so (2, ∞) and other line is not included 0 but included -4  so it should be (-4, 0]

So range would be:

(-4 , 0] ∪ (2, ∞)

8 0
3 years ago
Two ships depart from a port at the same time, one heading south and the other east. Seven hours later, they are separated by a
Anuta_ua [19.1K]

Answer: 80 miles for the first ship, and 150 miles for the other.

Explanation:

First thing we should do is correspond each number with a letter:

Let x be the distance travel by ship heading east

Let y be the distance travel by ship heading south

y = x + 70 -- (1)

sqrt(x^2 + y^2) = 170 -- (2)

Subtract (1) into (2):

sqrt(x^2 + (x + 70)^2) = 170

x^2 + x^2 + 140x + 4900 = 28900

2x^2 + 140x - 24000 = 0

x ^2 + 70x - 12000 = 0

(x - 80)(x + 150) = 0

x = 80 or -150

Since the distance for the first ship can’t be negative, therefore, x = 80 -- (3)

Subtract (3) into (1), therefore, y = 150

Hope this helps! :)

7 0
3 years ago
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