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3 years ago

What is 3.56 x 10^-5 in standard form?

1 answer:

7 0

Well here is your first part...

3.56×10^-5

Its negative so go to the left:

=.00000356

Here is your second part...

4×10^4×3×10^4

There both positive so go to the right

=40000 =30000

Then you multiply....

40000×30000=

= 1200000000

Here's your third part...

You need to divide 31 by 117

31÷117=

=0.2650%

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How many pounds of iron are produced from 4,200 pounds of iron ore if the ratio of iron ore is 5/21

Ghella [55]

1,000. 4,200 / 21 = 200. 5 * 200 = 1,000

4 0

4 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

5) One restaurant charges $7 per person and $1 admission fee. A second compant Charges $5 per

Assoli18 [71]

The people will there need to be in order for the second company to be less expensive in 1st restaurant.

Always assume the unknowns are variables when attempting to find them, and then construct the equation using the parameters specified in the question.

Admission fee for 1st restaurant = $1

Charge for 1st restaurant per person = $7

Admission fee for 2nd restaurant = $15

The number of employees required for 2nd restaurant need to have in order to be less expensive = x

Total amount needed for 1st restaurant = $1 + $7 = $8

To make the 2nd restaurant less expensive =

As the total amount of 1st restaurant is $8 and the admission fee 2nd restaurant itself is $15 2nd restaurant is more expensive than the 1st one.

To learn more about Word problems related to arithmetic operation from the link:

brainly.com/question/24464054

#SPJ9

5 0

2 years ago

You have 12 pennies in your pocket. Of those pennies, there are 3 Canadian. Suppose you pick a penny out of your pocket at rando

hjlf

9 of the pennies are not canadian

6 0

3 years ago

Read 2 more answers

When a student sold an Xbox on eBay for $145, she was charged a two-part final value fee: 5.25% of the first $25 of the selling

Contact [7]

Selling Price = $145

Charge on first $25 is 5.25%
5.25% of $25 = $\frac{5.25}{100}*25= \frac{5.25}{4} = 1.3125$

Charge on rest is 3.25%
rest amount = $145 - $25 = $120
3.25% of $120 = $\frac{3.25}{100}*120=3.9$

$Total\ charge=1.3125+3.9=5.2125 =\boxed{5.21}$

6 0

4 years ago