MATHEMATICS MIDDLE SCHOOL

4. Mitch took out a school loan for $24,000. The interest rate on the loan was 8%.Mitch paid off the loan in just 5 years. How much did he pay altogether?
24000 0.08.5
p24000
R=0.08
T5 years
1920.5
u
9600+
I-

Answers

Answer 1

Answer:

Mitch paid $ 33600 altogether

Solution:

Given that mitch took out a school laon for $ 24000

The interest rate on the loan was 8%

Number of years = 5

To find: total amount paid altogether

We can use simple interest to calculate the total amount

Total amount paid altogether = simple interest + principal amount

The simple interest is calculated as:

$\text { simple interest }=\frac{\text { principal } * \text {rate of interest } * \text {number of years}}{100}$

Plugging in values, we get

$\text { simple interest }=(24000 * 8 * 5)/(100)=240 * 8 * 5=9600$

Total amount paid altogether = simple interest + principal amount

Total amount paid altogether = 9600 + 24000 = 33600

Thus Mitch paid $ 33600 altogether

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What is 403.608 in word form

I need help with this ASAP

Answers

Answer:

60 degrees

Step-by-step explanation:

These two shapes are similar, which means that their corresponding angles are congruent.

Angle L corresponds to angle X. We know that <L = 60, which means that <X is also equal to 60.

Thus, the answer is 60 degrees.

Hope this helps!

Answer:

60°

Step-by-step explanation:

The two figures are similar and they have the same distribution of angles.

Angle X corresponds to Angle L = 60°

Marge has a book that holds her stamp collection. In this collection, 5 stamps are from England, 7 are from France, 8 are from the United States, and 3 are from Germany. Marge lives in the United States.If she picks a stamp at random from her collection, what is the probability that it is from a foreign country?

A. 10/23

B. 12/23

C. 15/23

D. 8/23

Answers

Answer:

C. 15/23

Step-by-step explanation:

This is because when working with probability, the first step is to determine what the probability you are finding is of.

1. You are finding the probability of it being a foreign country, so this would include England (5), France (8) and Germany (3). There are 15 stamps from outside countries.

2. In total, there are 23 stamps in the book, so the answer will always be "___ out of 23."

3. Putting these together, you can determine that her chance of picking a stamp from another country out of the book would be 15/23

A bacteria culture begins with 4 bacteria which double in size every hour. How many bacteria exist in the culture after 8 hours?128
256
1,024
8,192

Answers

4 Bacteria double per hour to give 8 bacteria then in 8 hours it will become 64 then this 64 doubles to give us 128

Let me make it clear,

The bacteria culture begins with 4 bacteria and double up every hour. And the hours given is 8 hours.

Therefore, we can first list the equation: 4 x 2^8

And we can get the solution 1024 <- Answer

Hope it helps

there are 112 students in the hammond school marching band. the band director wants the students to march with 14 students in each row. how many rows will there be?

Answers

you will have 9 rows there will be 8 rows of 14 and then the ninth row will be from the other 8 that are left.

What is the least perimeter of a rectangle with an area of 32 square feet

Answers

area of a rectangle=length x width.
length=x
width=y

xy=32 ⇒y=32/x

perimeter of a rectangle=2x+2y
P(x,y)=2x+2y
P(x)=2x+2(32/x)
P(x)=2x+64/x
P(x)=(2x²+64)/x

1) we calculate the first derivative
y=u/v ; y´=(u`v-v´u) / v²
P`(x)=(4x*x-1(2x²+64)] / x²
P´(x)=(4x²-2x²-64) / x²
P´(x)=(2x²-64) / x²

2)we equalize the first derivative to "0" and we find out the value of x:
(2x²-64) / x²=0
2x²-64=0*x²
2x²-64=0
2x²=64
x²=64/2
x²=32
x=⁺₋√32
We obtein two possible values:
x₁=-√32; this value is not valid.
x₂=√32 ;

3)we calculate the second derivative:
P``(x)=[4x * (x²)-2x(2x²-64)] / x⁴
P´´(x)=(4x³-4x³+128x) / x⁴
P´´(x)=128/x³

4) we find out if x=√32 is a maximum or a minimum
P´´(√32)=128/(∛32)=40.317...>0;
Therefore, like P´´(√32)>0 at x=√32 we have a minimum

5) we find out the value of y.

y=32/x
y=32 / √32=(32*√32)/32=√32

Therefore: x=√32, y=√32, the rectangle is a square.

Perimeter=2x+2y
Perimeter=2√32+2√32=4√32

Answer: the least perimeter of a rectangle with an area of 32 ft² is 4√32 ft.

the smallest perimiter is when the sides are the same legnth

example
if you built a rectangle with area 20
if you built it wwith sides 20 and 1, then the perimiter would be 42
if you build it with sides 5 and 4, the perimiter is 18

so trry to get perimiters as clos as possible

get them equal

aera of rectangle=legnth times width
set legnth=width so we can get least perimiter
area of rectangle=legnth times legnth
area=legnth^2
32=legnth^2
sqrt both sides
√32=legnth
4√2=legnth

so since legnth=width, this rectangle is now a square (this is allowed becasue defenition of rectangle is 4 right angles, and all squares are rectangles, but that doesn't means all rectangles ar squares)

perimiter of square=4legnth
perimiter of this square=4*4√2=16√2

answer is 16√2 feet

The mean of four numbers is 21. The range is 15. The greatest number 29.The two middle numbers differ by 3