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BaLLatris [955]
3 years ago
8

Which choice is equivalent to the expression below?

Mathematics
1 answer:
enyata [817]3 years ago
3 0

Answer: B

Step-by-step explanation:

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A group of 40 children attended a baseball game on a field trip.Each child received either a hot dog or bag of popcorn.Hotdogs w
vfiekz [6]

Answer:

20 hotdogs and 22 bags of popcorn.

Step-by-step explanation:

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3 years ago
PLEASE HELP!! EARN 50 POINTS!! WILL MARK BRAINLIEST!!!!
STALIN [3.7K]

Answer:

Use demos it is reaaly helpful with this



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3 years ago
If nx10^p is a positive number written in scientific notation which statements must be true? Select all that apply
liq [111]

For this case we have the following number written in scientific notation:


n * 10 ^ p

We know that this number is greater than zero because it is a positive number.

Therefore, the following statements are true:

p ∈ (-∞, ∞)

n must be between 1 and 10

n ∈ [1, 10]

Answer:

The following statements are correct about the number written in scientific notation:

p ∈ (-∞, ∞)

n ∈ [1, 10]

3 0
3 years ago
Lenny and Lisa have obtained a 30-year, fixed rate mortgage for $675,250 with a 7.25% interest rate. They purchased 3 points and
Vikentia [17]

Answer:

119 months

Step-by-step explanation:

In this question, we are asked to calculate the amount of time it would take for a break-even point on a mortgage, if there is a factoring in the cost of points.

We proceed to answer the;

Mathematically,

The Break Even Point = Amount Paid for purchasing Discount Points divided by Monthly savings in the interest payments

We lost out the important values given in the question as follows:

Amount of Mortgage - $675,250

Tenure - 30 Years

The Rate of interest without points = 7.25%

The number of points = 3 points

The rate of interest with the 3 points = 6.875%

The amount to be paid for purchasing the discount point is now calculated below;

Since 1 discount point = 1% of mortgage value;

Therefore, 3 discount points = 3% of mortgage value

The amount paid is thus = 3% of $675,250 = $20,257.5

To calculate Monthly payment without points, we use the mathematical formula;

M = P[r(1+r)^n/((1+r)^n)-1)]

Where M

Is monthly payment, r is the interest rate, n is the number of months.

According to the question M = 675,250, r = 7.25% = 7.25/100 = 0.0725 , n= 30 * 12 months = 360 months

M = 675,250[0.0725(0.0725+1)^30/(1+0.0725)^360)-1) = $4606.40

To get the monthly payment with points, we simply use the formula again but this time interest rates will be 6.875% = 0.06875 I.e r = 0.06875

Inputting the terms in the formula will yield a value of $4435.91. This means monthly payment with discount will be $4435.91

Savings in monthly payments after purchasing the discount points = $4,606.40 - $4,435.91 = $170.48

Break Even = Purchase cost of Discount Points / Monthly savings

= $20,257.5 / $170.48

= 119 Months

Hence, the number of months it will take Lisa and Lenny to break-even point on their mortgage will be 119 months

6 0
3 years ago
Konrad has $500 in a savings account at the beginning of the summer. He wants to have more than $200 in the account by the end o
yuradex [85]

Answer:

Step-by-step explanation:

He has $500 to start with, and he takes $25 out of the account each week. But he wants more than 200 in his account by the end of summer. 25 goes into 500 20 times. But if he wanted more than 200 left, like 300-400, he could spend 4 week's worth of money to have 400 left, or 8 weeks to have 300 left. This is the best-case scenario.

8 0
3 years ago
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