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Nady [450]
2 years ago
12

Can I get help on this question?

Mathematics
2 answers:
sweet-ann [11.9K]2 years ago
8 0
Not here

Radius is half the diameter 40/2=20

Circumference = 2*pi*radius
2*3.14*20 = 125.6
125.6*5 = 628
erastova [34]2 years ago
4 0

Answer:

the answer should be 200

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Regina ate 25 grapes and 15 cashews. Simplify the ratio of grapes to cashews that she ate.
Marysya12 [62]

Answer:

The ratio would be 5 to 3

Step-by-step explanation:

I know this because you would divide the amount of grapes and the amount of cashews by 3 which would equal 5 to 3

8 0
2 years ago
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If $1,000 is invested at 4% simple interest, how much will the investment be worth after 2 years? Please explain how compound an
Novay_Z [31]
<h3>Answer:</h3>
  • simple interest: $1080.00
  • compounded annually: $1081.60
<h3>Step-by-step explanation:</h3>

<em>Simple Interest</em>

Simple interest is computed on the principal amount only. Each year, 4% of the principal is added to the balance. So, at the end of 2 years, the balance is ...

... $1000 + 0.04×$1000 + 0.04×$1000

... = $1000×(1 + 0.04×2) = $1000×1.08

... = $1080.00

_____

<em>Comment on the computation</em>

The added interest is the rate (per year) multiplied by the number of years. Here, that is 0.04×2×(principal amount). The formula for the simple interest earned is often seen as ...

... I = Prt . . . . . where I is the amount of interest, P is the principal amount, r is the interest rate for the time period, t is the number of time periods.

The account balance (A) with interest added is ...

... A = P + I = P + Prt

... A = P(1 +rt)

Here, the time period is years, and the rate given is an annual rate.

____

<em>Compound Interest</em>

Compound interest is computed on the <em>account balance</em> at the beginning of the period, not just the <em>principal</em> amount. After the first period, the account balance includes interest earned so far. So, the interest is earning interest. That is why it is called compounded interest.

Here, the balance at the end of the first year is the principal amount plus the interest that has earned:

... $1000 + 0.04×$1000 = $1000×1.04 = $1040.00

The balance at the end of the second year when the interest is compounded is this account balance plus the interest it earns:

... $1040 + 0.04×$1040 = $1040×1.04 = $1081.60

You may notice that the intial principal, $1000, has been multiplied by the factor 1.04 twice. Using exponents, the multiplier for a period of 2 years is 1.04×1.04 = 1.04².

_____

<em>Comment on the computation</em>

The multiplier of the account balance each year is raised to a power that is the number of years. Here, the account balance at the end of 2 years is (1+0.04)² times the principal amount. A formula that is seen for this is ...

... A = P(1 +r)^t . . . . . where A is the final account balance, P is the principal amount, r is the interest rate for the time period, and t is the number of time periods.

7 0
3 years ago
Order the following greatest to least <br><br> 1. 10kg<br> 2. 100g<br> 3. 1,000,000mg
svlad2 [7]

Answer:

<em>1, 2, 3</em>

Step-by-step explanation:

Of the three units, the <em>kilogram</em> is the largest and the <em>milligram</em> is the smallest. The prefix “<em>kilo</em>” means a thousand and “<em>milli</em>” means one-thousandths.

1,000,000mg = 1kg  

1kg = 1,000g

8 0
2 years ago
Read 2 more answers
at the movie theatre, child admission is $5.20 and adult admission is $9.00. on Monday, 132 tickets were sold for a total sales
kakasveta [241]

Answer:

That day 51 child tikets were sold

Step-by-step explanation:

To do this problem we have to make 2 equations, one that represents the number of entries and the other that represents the money

x = child tickets

y = adult tickets

x + y = 132

x * $5.20 + y * $9.00 = $994.20

First we have to solve for the x in the first equation

x + y = 132

x = 132 - y

Now we replace the x with (132 - y) in the second equation

x * $5.20 + y * $9.00 = $994.20

(132 - y) * 5.20 + y * 9.00 = 994.20

686.4 - 5.2y + 9y = 994.2

-5.2y + 9y = 994.2 - 686.4

3.8y = 307.8

y = 307.8/3.8

y = 81

We replace y with its value in the first equation

x = 132 - y

x = 132 - 81

x = 51

That day 51 child tikets were sold

6 0
2 years ago
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The graph of a quadratic function touches, but does not cross, the x-axis at x = 4. Which function represents this situation?
jek_recluse [69]
When a zero of a function does not cross the x-axis but touches it, this means that the zero is a "double root". It has two of the same factor (x - 4)^2 and two of the same zeros, x = 4 and x = 4
f(x) = x^2 - 8x + 16 would be the function with a double root at 4
5 0
3 years ago
Read 2 more answers
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