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Law Incorporation [45]
3 years ago
6

Order of operations

Mathematics
2 answers:
klasskru [66]3 years ago
7 0
The order of operations are PEMDAS

this stands for:
P Parentheses ( )
E exponents 4^2
M multiplication ✖️
D Division ➗
A addition ➕
S Subtraction ➖

An easy way to remember PEMDAS is by saying:

Please
Excuse
My
Dear
Aunt
Sally

Hope this helps! :3
exis [7]3 years ago
5 0

Just follow PEMDAS

Parenthesis

Exponents

Multiply

Divide

Add

Subtract

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(b) 3,5 and 9 are prime factors of 54?​
Shtirlitz [24]

Answer:

False, 5 is not a factor of 54.

8 0
1 year ago
The amount of $180.00 is what percent greater than $135.00
olga nikolaevna [1]
Percent change = ((new value) - (old value))/(old value) × 100%
  = (180 -135)/135 × 100%
  = 33 1/3%

180 is about 33% greater than 135.
8 0
3 years ago
1. A retirement account is opened with an initial deposit of $8,500 and earns 8.12% interest compounded monthly. What will the a
Rudik [331]

Answer:

Part A) \$42,888.48  

Part B) A=\$22,304

Part C) The graph in the attached figure

Step-by-step explanation:

Part A) What will the account be worth in 20 years?

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=20\ years\\ P=\$8,500\\ r=0.0812\\n=12  

substitute in the formula above  

A=8,500(1+\frac{0.0812}{12})^{12*20}  

A=8,500(1.0068)^{240}  

A=\$42,888.48  

Part B) What if the deposit were compounded monthly with simple interest?  

we know that

The simple interest formula is equal to

A=P(1+rt)

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=20\ years\\ P=\$8,500\\r=0.0812

substitute in the formula above

A=8,500(1+0.0812*20)

A=\$22,304

Part C) Could you see the situation in a graph? From what point one is better than the other?

Convert the equations in function notation

A(t)=8,500(1.0068)^{12t} ------> equation A

A(t)=8,500(1+0.0812t)  -----> equation B

using a graphing tool  

see the attached figure  

Observing the graph, from the second year approximately the monthly compound interest is better than the simple interest.

5 0
3 years ago
Bob's gift shop sold a record number of cards for Mother's Day. One salesman sold 24 cards, which was 20% of the cards sold for
blagie [28]

Answer:24 cards - 20%= 19.2

Step-by-step explanation:

6 0
3 years ago
2. An empty ice cream cone has a height of 3.02 inches and a radius
ololo11 [35]

Answer:

Approximate volume of ice cream = 3.03 inches

Step-by-step explanation:

Given - An empty ice cream cone has a height of 3.02 inches and a radius

of 0.98 inches.

To find - What is the approximate volume of ice cream it will  hold within the cone  ?

Proof -

We know that,

Volume of the cone = \frac{1}{3}\pi r^{2}h

where

r is the radius of the cone

h is the height of the cone

Here,

Given that,

r = 0.98 inches

h = 3.02 inches

So,

Volume = \frac{1}{3}\pi r^{2}h

             = \frac{1}{3}(3.14) (0.98)^{2}(3.02)         ( Consider the value of \pi = 3.14)

             = 3.0373

∴ we get

Approximate volume of ice cream = 3.03 inches

So,

The correct option is - G. 3 in 3

8 0
3 years ago
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