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1 year ago

The charts show the effect of an interest rate adjustment on an adjustable-rate mortgage.

Mathematics

1 answer:

Tcecarenko [31]1 year ago

3 0

Answer:

C. a higher monthly payment.

Step-by-step explanation:

<h3>Answer options:</h3>

Rate adjustment resulted in

A. a lower interest rate.

No, interest rate increased from 0.4 to 0.5 percent

B. a higher principal.

No, principal decreased from $200000 to $187000

C. a higher monthly payment.

Yes, monthly payment increased from $1059.85 to $1162.56

D. a higher number of payments.

No, number of payments remained as 336

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6. Kathleen needs 240 valid signatures on a petition to get a crosswalk installed on her street. She knows

fredd [130]

Kathleen must get 300 signatures to make sure she will have enough valid signatures for the crosswalk

Solution:

Given that Kathleen needs 240 valid signatures on a petition to get a crosswalk installed on her street

She knows that about 20% of the signatures will not be valid for a variety of reasons

Let "x" be the number of signatures

invalid signature = 20 % of x

valid signatures = 240

Then, according to question,

total number of signatures - invalid signatures = 240

x - 20 % of x = 240

$x - 20 \% \times x = 240\\\\x - \frac{20}{100} \times x = 240\\\\x - 0.2x = 240\\\\0.8x = 240\\\\x = 300$

Therefore, she must get 300 signatures so that she will have enough valid signatures for the crosswalk

3 0

1 year ago

The area of the conference table in Mr. Nathan’s office must be no more than 175 ft2. If the length of the table is 18 ft more t

Usimov [2.4K]

The answer to the question is 300 square feet

4 0

2 years ago

josh is 6 years older than 4 times Kim's age. The sum of their ages is less than 31. what is the oldest Kim could be? show all y

Mice21 [21]

Answer:

4 years old.

Step-by-step explanation:

Lets say that Josh's age is j and Kim's age is k. As Josh is 6 years older than 4 times Kim's age, we can write this as an equation:

j = 4k + 6

This is, John's age is equal to four times Kim's plus 6 years.

We then know that, when summed their ages is less than 31, so:

k + j < 31

Replace John's age by our first equation:

k + 4k + 6 < 31

5k + 6 < 31

Subtract 6 in both sides:

5k + 6 - 6 < 31 - 6

5k < 25

Dividing both sides by 5:

5k/5 < 25/5

k < 5

So, Kim's age MUST be less than 5.

If we talk about discrete values, this is 1, 2, 3, 4, 5, 6...., we will say than the oldest Kim could be is 4. If Kim is 5 years old, the sum of ages is 31 and we need it ti be LESS than 31. (we are not considering fractional numbers as 4.5 years old).

So, Kim can be, at maximum, 4 years old.

7 0

1 year ago

Your tutor asks you to record the time you spend using IT during the week. You have recorded this time below: Day Time Monday 0.

NikAS [45]

Let us convert all figures into decimals so that we can compare them easily.

Monday 0.3

Tuesday 15% = 0.15

Wednesday 1/6 = 0.1666

Thursday 0.2

Friday 1/8 = 0.125

Clearly, I spent the least amount of time on Friday using IT and the time is 0.125 or 1/8.

7 0

1 year ago

The local skating rink pays marry a fixed rate per pupil plus a base amount to work as a skating instructor. she earns $90 for i

Ganezh [65]

You have to make a system of equations: lets make a equal the amount marry makes per student and b be her base amount.
90=15a+b (you have to subtract the top equation by the bottom equation)
62=8a+b (90-62=28, 15a-8a=7a, and b-b=0)
Since b canceled out, you are left with 7a=28 which means a=4. you can than plug a into the equation 62=8a+b to find that b=30.

since Lisa makes half of the base amount marry, her base amount is 15. However, she also make twice the amount per kid so she makes 8 per kid.
using the found values found you can make the equations (m=the amount Marry makes, l=the amount Lisa makes, and c is the number of children)
m=4c+30
l=8c+15
set c=20 and you should get m=110 and l=175. Based off of that information, we can say that Lisa makes more money instructing a class of 20 students.
I hope this helps.

8 0

1 year ago