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Wewaii [24]
2 years ago
13

At a rate of 4%, you paid $144.00 in interest over a two-year period. What was the original amount of your loan?

Mathematics
1 answer:
baherus [9]2 years ago
6 0
Principal is the same as original amount. 
<span>1. You convert the rate % to a decimal number. (divide by 100) </span>

<span>2. Substitute: </span>

<span>P = 144 / (.04 x 2) </span>

<span>3. Solve: </span>

<span>P = 144 / .08 </span>
<span>P = 1,800 </span>

<span>4. Your answer is $1,800</span>
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How do I solve for x?
notka56 [123]
Solving:
\frac{3+4x}{2} + \frac{5-x}{3} = \frac{29}{6}
Make the Least Common Multiple (2,3,6)
2,3,6\:|2
1,3,3\:|3
1,1,1\:|\underline{2*3=6}


<span>Replace denominators and resolve:
</span>\frac{3+4x}{2} + \frac{5-x}{3} = \frac{29}{6}
\frac{3(3+4x)}{6} + \frac{2(5-x)}{6} = \frac{29}{6}
Cancel the dominators
\frac{3(3+4x)}{\diagup\!\!\!\!6} + \frac{2(5-x)}{\diagup\!\!\!\!6} = \frac{29}{\diagup\!\!\!\!6}
3(3+4x) + 2(5-x) = 29
9 + 12x + 10 - 2x = 29
12x - 2x = 29 - 9 - 10
10x = 20 - 10
10x = 10
x =  \frac{10}{10}
\boxed{\boxed{x = 1}}\end{array}}\qquad\quad\checkmark


7 0
3 years ago
Write the ordered pair that represents MP. Then find the magnitude of MP.
jarptica [38.1K]

Answer:

(23,-4):\sqrt{545} units

Step-by-step explanation:

We are given that M(-19,4)and P(4,0)

We have to find the ordered pair that represents MP and find the magnitude of MP.

MP=P-M

MP=(4,0)-(-19,4)=(4+19,0-4)

MP=(23,-4)

Magnitude of MP=\sqrt{(23)^2+(-4)^2}

Magnitude of MP=\sqrt{529+16}

Magnitude of MP=\sqrt{545} units

Hence, .option c is true.

Answer:c.(23,-4):\sqrt{545} units

5 0
2 years ago
In the number 5,782,143 which digit is the ten thousandth place
lakkis [162]

Answer:

8

Step-by-step explanation:5,782,143 consists of 7 numbers. 3 is in the ones place, 4 in tens place, 1 in hundreds place, 2 in thousands place, 8 in ten thousands place, 7 in hundreds place, and 5 in millions place.

Brainliest plz

8 0
2 years ago
A certain medicine is given in an amount proportional to a patient's body weight. Suppose a patient weighing
Marizza181 [45]
Set up a proportion.

pounds / milligrams of medicine

195/279 = 130/x

195x = 279 times 130
195x =36,270
x = 36,270/195
x = 186

A patient weighing 130 pounds needs 186 milligrams of medicine.
6 0
3 years ago
HELP ME OUT GUYS!!!! Question is in the screenshot below.
Lostsunrise [7]
Im pretty sure it’s C. 9 times longer
4 0
2 years ago
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