Ivan and Tanya share £150 in the ration 4 : 1

Find the area of a circle with a diameter of 20 inches. Use 3.14 for pi

galina1969 [7]

Answer:

The area of the circle is 314 inches

Step-by-step explanation:

Area if a circle = πr²

r = radius

r= d/2

r=20 /2

r=10 inches

Area =3.14×10²

= 3.14×100

=314 inches

6 0

3 years ago

Read 2 more answers

there are a total of 100 balloons.if the ratio of yellow balloons to blue balloons is 8 to 12,how many of them are yellow?

IrinaK [193]

The ratio of yellow balloons to blue balloons is 8:12
Then there are 100 balloons. Making the equation, we are able to have:
8X + 12X = 1000
20x = 1000
X = 50.

Yellow balloons = 8x = 8 * 50 = 400 yellow balloons
Blue balloons = 12X = 12 * 50 = 600 blue balloons

So there are 400 yellows balloons.

8 0

3 years ago

Please solve these soon I have to turn thin in tomorrow !!!!!!!!

Gnoma [55]

Answer:

a) so if you're looking for a then you substitute the a in the problem so the real question would be answered by simply doing this. 3 times (do this first) 6 times 3. so it would end up looking like this if you did it in your head. 6x3=18 then 18x3= 54 so the answer for ten after you did all the math would equal out to be 54.

d) so you're going to substitue the d again, for what it tells you d equals. in this case, d= a negative 2 so, 5 x do this first -2 x 4 = so if you did this in your head you would end up with -2 x 4 = -8 because anything times a negative is turned into a negative. so that is why the answer is -8 for the first part. then you multiply that answer by 5 because we all like the 5 dollar foot longs. so carry that into an answer of - 40. because we all know we want to be younger once we reach 40.

r) 5times -3 equals -15 times 2 would be... ding ding ding 30 because a negative times a negative is a positive. think of negatives this way. when you frown it's your smile upside down. ok so a frown is a negative, if you multiply a negative to a negative it's like turning your frown upside down. so you end up with a positive! ok?! so there. the secrets of life and math.

call me for the rest of the answers... this is too much to write down.

Step-by-step explanation:

4 0

3 years ago

The principal amount, $4200, earns 3.6% interest compounded monthly.

svlad2 [7]

Answer:

a)

$A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}$

b)

The total amount accrued, principal plus interest, from compound interest on an original principal of $ 4,200.00 at a rate of 3.6% per year compounded 12 times per year over 10 years is $5667.28.

Step-by-step explanation:

a. Write the function that represents the value of the account at any time, t.

The function that represents the value of the account at any time, t

$A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}$

where

P represents the principal amount

r represents Annual Rate

n represents the number of compounding periods per unit t, at the end of each period

t represents the time Involve

b) What will the value be after 10 years?

Given

The principal amount P = $4200

Annual Rate r = 3.6% = 3.6/100 = 0.036

Compounded monthly = n = 12

Time Period = t

To Determine:

The total amount A = ?

Using the formula

$A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}$

substituting the values

$A\:=\:4200\left(1\:+\:\frac{0.003}{12}\right)^{\left(12\right)\left(10\right)}$

$\:A\:=\:4200\left(1.0025\right)^{120}$

$A=5667.28$ $

Therefore, the total amount accrued, principal plus interest, from compound interest on an original principal of $ 4,200.00 at a rate of 3.6% per year compounded 12 times per year over 10 years is $5667.28.

6 0

3 years ago

Suppose a certain airline uses passenger seats that are 16.2 inches wide. Assume that adult men have hip breadths that are norma

Pachacha [2.7K]

Answer:

Each adult male has a 5.05% probability of having a hip width greater than 16.2 inches.

There is a 0.01% probability that the 110 adult men will have an average hip width greater than 16.2 inches.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by

$Z = \frac{X - \mu}{\sigma}$

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.

In this problem

Assume that adult men have hip breadths that are normally distributed with a mean of 14.4 inches and a standard deviation of 1.1 inches. This means that $\mu = 14.4, \sigma = 1.1$ .

What is the probability that any one of those adult male will have a hip width greater than 16.2 inches?

For each one of these adult males, the probability that they have a hip width greater than 16.2 inches is 1 subtracted by the pvalue of Z when X = 16.2. So:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{16.2 - 14.4}{1.1}$