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german
3 years ago
6

Begin by clearly stating the problem; you can copy this from the problem set file. Show how you solved the problem step by step,

including any formulas or equations that you used. Finally, state your final answer in a complete sentence, and make sure that you include the correct units with you answer.
1.)Albert borrowed $19,100 for 4 years. The simple interest is $9932.00. Find the rate.
Mathematics
1 answer:
iogann1982 [59]3 years ago
3 0

Answer:  13%

Step-by-step explanation:

We know that the formula to find the simple interest :

I=Prt, where P is the principal amount , r is rate (in decimal )and t is the time period (in years).

Given : Albert borrowed $19,100 for 4 years. The simple interest is $9932.00. Find the rate.

i.e. P = $19,100 and  t= 4 years and I = $9932.00

Now, Substitute all the values in the formula , we get

9932=(19100)r(4)\\\\\Rightarrow\ r=\dfrac{9932}{19100\times4}\\\\\Rightarrow\ r=0.13\ \ \ \text{[On simplifying]}

In percent, r=0.13\times100\%=13\%

Hence, the rate of interest = 13%

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Larry bought 12 containers of pasta salad for a school picnic. Each container held the same number of ounces of salad. Students
tester [92]

Answer:

12 p - 8 p,  4p ( 3 - 2)

Step-by-step explanation:

p = equal the number of ounces of pasta salad in one container

then 12 × p = 12 p in 12 containers

the students finished the pasta salad in 8 containers which equals = 8 p

the number of ounces of pasta left = 12 p - 8 p  

b) using the distributive property for example a ( b + c) = ( a×b) + (a ×c)

12 p - 8 p = 4p ( 3 - 2)

6 0
3 years ago
Each side of a rhombus is 20 cm long and one of its diagonals is 24 cm in length, find the area of ​​this rhombus?
vodomira [7]

Answer:

AB = 20 CM

OA = 1

__ × 24 cm

2

= 12 cm

AOB = 90 °

OB² == AB² - OA ²

( {20}^{2} ) - ( {12}^{2} ) \\  = 400 - 144 \\  = 256 \\

ob \:  =  \sqrt{256}  = 16 \\ bd \:  = 2 \times ob \\  = 2 \times 16 \\  = 32cm \:  \\

AREA OF ABCD IS

\frac{1}{2 }  \times ac \times bd \\  =  \frac{1}{2}  \times 24 \times 32 \\ 384cm

hope \: its \: helpful \:  \: to \: you \:

6 0
2 years ago
Read 2 more answers
Cd has an endpoint at (2, -1) and a midpoint at (8, 3). which measure is closest to the length of cd
stepladder [879]

Answer:

4\sqrt{13}

Step-by-step explanation:

The length of CD will be twice the distance from the midpoint to the endpoint

To calculate the length use the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (2, - 1) and (x₂, y₂ ) = (8, 3)

d = 2 × \sqrt{(8-2)^2+(3+1)^2}

  = 2 × \sqrt{6^2+4^2}

  = 2 × \sqrt{52}

  = 2 × \sqrt{4(13)}

  = 2 × 2\sqrt{13} = 4\sqrt{13} ← exact length

8 0
3 years ago
Select the interval where f(x)&gt;0<br><br> A: -2 B: 1&lt; x&lt;2<br> C: 4<br> HELP
Viefleur [7K]

Answer: 1 < x < 2

Step-by-step explanation:

7 0
3 years ago
Please help with A, B, and C
makkiz [27]
A. 75 degrees because the angle creates by the car and the opposite 75 degree are vertical angles meaning that their congruent
B. 75 degrees because the 4the street and the 3rd streets are both Patel meaning that the angle of the car and the 75 degree angle on northeast angle of the fourth street are corresponding angels
C. 105 degrees because the 180 degrees which is the angle of a straight line subtracted from the 75 degree gives the answer of 105 degrees

4 0
3 years ago
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