A frame is 4 inches tall and 3 inches wide if it is enlarged to a height of 24 inches then how wide will it be

Since 201020102010, the town of Fall River has been experiencing a growth in population. The relationship between the elapsed ti

barxatty [35]

Answer:

48,558

Step-by-step explanation:

The function which models the relationship between the elapsed time, t in years, since 2010 and the town's population, P(t), is given as:

$P(t)=36800\cdot2^{^\dfrac{t}{25}}$

Now, 2020-2010=10 Years

Therefore we are required to calculate the population of the town 10 years after.

To do this, we simply substitute t=10 in the function.

$P(10)=36800\cdot2^{^\dfrac{10}{25}}}\\=48557.9\\\approx 48558$

According to the model, the population in Fall River will be 48,558 in the Year 2020.

7 0

3 years ago

Easton is going to invest $340 and leave it in an account for 8 years. Assuming the interest is compounded quarterly, what inter

Jlenok [28]

Answer:

100.7%

Step-by-step explanation:

Since the interest is compounded quarterly, and there are 4 quarters per year, that would leave us with 32 quarters total where interest is acquired. Now, we need to find the interest rate, that would be required in order to end up with 420 dollars after 32 quarters.

We can setup a formula using our period of time and the money he invested into the bank:

$340(x)^{32}=420$

We can divide 340 from both sides, and simplify the right side to 21 divided by 17:

$x^{32}=\frac{21}{17}$

Taking the 32th root of 21/17 is equal to 1.00662, which is equal to 100.0662%. To the nearest tenth of a percent, this is equal to 100.7%.

5 0

2 years ago

What is |-8| ? -16

olga nikolaevna [1]

Answer:

8

Those little "sticks" are called absolute value.

For example, the absolute value of 2 is 2, and the absolute value of −2 is also 2. The absolute value of a number may be thought of as its distance from zero along real number line.

Thus, it doesn't matter if the number is positive or negative. As it only counts its distance from 0, on the number line.

I hope it helps.

5 0

2 years ago

Read 2 more answers

1. PART A: Determine the missing lengths:

Otrada [13]

#1

Divide into two rectangles

$\\ \tt\hookrightarrow "1"=14-12=2$

$\\ \tt\hookrightarrow "2"=3+1=4$

#2

$\\ \tt\hookrightarrow P=14+1+12+3+2+4=36$

#3

$\\ \tt\hookrightarrow A=14(1)+3(2)=14+6=20units^2$

3 0

2 years ago

Read 2 more answers

A bathtub is draining at a constant rate. After 2 minutes, it holds 30 gallons of water. Three minutes later, it holds 12 gallon

aliya0001 [1]

Let x, represent the number of minutes and y represents the number of gallons of water in the tub, then the ordered pairs (2, 30) and (5, 12) satisfies the equation.

Therefore the equation is given by: (y - 30)/(x - 2) = (12 - 30)/(5 - 2)
(y - 30)/(x - 2) = -18/3 x = -6
y - 30 = -6(x - 2) = -6x + 12
y = -6x + 42

Required equation is y + 6x = 42.

5 0

2 years ago