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Paladinen [302]
2 years ago
10

Ernest borrowed $1000 from the bank. The interest rate is 30% and he borrowed it for 9 months. How much will he owe the bank?

Mathematics
1 answer:
Fudgin [204]2 years ago
5 0

The total amount Ernest owes the bank after 9 months is $1,225.00

How many months of interest would be paid?

The fact the loan was taken for nine months means that the borrower, Ernest needs to pay interest for nine months, in other words, we would time-apportion the annual interest of 30% to determine the 9-month interest as shown below:

9-month interest rate=30%*9/12

9-month interest rate=22.50%

The amount Ernest is owing the bank is the principal borrowed plus the interest for  9 months as computed below:

total amount owed after 9 months=$1000*(1+22.50%)

total amount owed after 9 months=$1000*1.2250

total amount owed after 9 months=$1,225.00

Find out more about borrowing on:brainly.com/question/28188613

#SPJ1

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Which number is composite A 19 B 23 C 33 D 37​
raketka [301]

Option C is correct.

Step-by-step explanation:

We need to identify the composite numbers from the given options

<u>Composite Numbers</u>

A number is composite number if it has factors other than 1 and the number itself i.e the number is not prime.

The numbers 19, 23 and 37 are prime numbers because they have factors 1 and the number itself while 33 is composite number because it has factors 1,3,11,33.

So, Option C is correct.

Keywords: Composite Numbers

Learn more about Composite Numbers at:

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7 0
3 years ago
Read 2 more answers
How can you simplify algebraic expressions
xenn [34]

Answer:

Algebraic expressions are simplified by using given operators

like as arithmetic

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5 0
2 years ago
How many times do you apply the distributive property in this example: 2(x + 5) – 3(2x + 7) ?
Brut [27]

Answer:

Hi there!

Your answer is two times.

Step-by-step explanation:

The distributive property is multiplying the coefficient in front of parentheses into the parentheses. You have two sets of parentheses both with a coefficient that needs to be distributed.

The first time you use it is on 2(x+5), distributing the 2.

The second time you use it is on the -3(2x+7), distributing the -3

Please let me know if you have questions :)

6 0
3 years ago
Alice created a kite out of two sticks and some fabric. The sticks were 10 inches and 15 inches long.
DENIUS [597]

Answer:

Area = 25 square inches.

Step-by-step explanation:

Consider the large base triangle first. The height is 15 - 5 = 10

The base across is 10 (the length of the smaller stick).

The Area of that triangle is 1/2 * b * h

Area = 1/2 * 10 * 10 = 50

Now the smaller triangle is the same base (the smaller stick of 10) * the height of 5

Area = 1/2  b * h

Area = 1/2  10 * 5

Area = 25

total area of the kite = 50 + 25 = 75

6 0
2 years ago
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The maximum afternoon temperature in Granderson is modeled by t=60-30 cos (x<img src="https://tex.z-dn.net/?f=%20%5Cpi%20" id="T
kicyunya [14]
The equation is t=60-30 cos (x \frac{\pi}{6})

the -30 expression, is subtracting, if negative, from the 60
if the cosine returned is negative, you'd end up with a +30,
negative * negative = positive

and then the 30 expression will ADD to the 60 amount
so the temperature "t" is highest, when the 30 expression, is
positive and and it's highest

when does that happen, when cosine is negative and at its highest,
well, cosine range is -1\le cos(\theta ) \le 1
so the lowest value cosine can provide is -1, when is cosine -1?
well, at \pi

so...  let's find a value that makes that expression to cos(\pi)

\bf t=60-30 cos (x \frac{\pi}{6}) \qquad x=6&#10;\\\\&#10;thus&#10;\\\\&#10;t=60-30 cos (6 \frac{\pi}{6})\implies t=60-30 cos (\pi )&#10;\\\\&#10;t=60-30[-1]\implies t=60+30\implies t=90

----------------------------------------------------------------------------------------
so...for August, that'll mean


\bf t=60-30 cos (x \frac{\pi}{6}) \qquad x=7&#10;\\\\&#10;t=60-30 cos (\frac{7\pi}{6})\implies t=60-30\left( -\cfrac{\sqrt{3}}{2} \right)&#10;\\\\&#10;t=60+(15\cdot \sqrt{3})\implies t\approx85.98^o


4 0
3 years ago
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