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3 years ago

Cherry Avenue Park is in the shape of a rectangle. What is the area, in square

1 answer:

7 0

Answer: a rectangles area is length x width. You need to find the numbers that represent the length and the width and multiply them

Step-by-step explanation:

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Round 45.395 to the nearest hundredth

nikdorinn [45]

45.40 is your number

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3 years ago

11,700 is invested in a compound interest account paying 3.9% compounded quarterly. How much will be in the account after 18year

Misha Larkins [42]

A=p(1+i/m)^mn
A=11,700×(1+0.039÷4)^(4×18)
A=23,527.94

8 0

3 years ago

Solve the following quadratic equation for all values of x in simplest form. (x-4)^2=33

Brrunno [24]

$\huge\text{$x=\boxed{\sqrt{33}+4,\ -\sqrt{33}+4}$}$

To solve for $x$ , we need to isolate it on one side of the equation.

Take the square root of both sides, making sure to use both positive and negative roots.

$\begin{aligned}(x-4)^2&=33\\x-4&=\pm\sqrt{33}\end{aligned}$

$\sqrt{33}$ cannot be simplified, so we'll leave it as-is.

Add $4$ to both sides to fully isolate $x$ .

$x=\pm\sqrt{33}+4$

Expand the solution by making two solutions, one where $\sqrt{33}$ is positive and one where it's negative.

$x=\sqrt{33}+4,\ x=-\sqrt{33}+4\\x=\boxed{\sqrt{33}+4,\ -\sqrt{33}+4}$

5 0

2 years ago

Read 2 more answers

An engineering scale model shows a church that is 2 inches tall. if the scale is 1 inch = 256 feet, how tall is the actual churc

SVETLANKA909090 [29]

Answer:

Actual height of church = 512 feet

Step-by-step explanation:

Given:

Scale model;

1 inch = 256 feet

Height of church (Scale model) = 2 inches

Find:

Actual height of church

Computation:

Actual height of church = Height of church (Scale model) x scale length

Actual height of church = 2 inches x 256 feet/inches

Actual height of church = 2 x 256 feet

Actual height of church = 512 feet

8 0

2 years ago

Andy joins a social networking site. After day three, he has 25 friends; after day eight, he has 40 friends. Write the equation

Allisa [31]

Answer:

Point slope intercept form: The equation for line is given by; $y-y_1=m(x-x_1)$ ......[1] ; where m is the slope and a point $(x_1, y_1)$ on the line.

Let x represents the number of days and y represents the number of friends.

As per the statement: After day three, he has 25 friends; after day eight, he has 40 friends.

⇒ We have two points i.e,

(3, 25) and (8, 40)

First calculate slope(m);

$m = \frac{y_2-y_1}{x_2-x_1}$

Substitute the given values we get;

$m = \frac{40-25}{8-3}=\frac{15}{5}$ = 3

now, substitute the given values of m=3 and a point (3, 25) in [1] we get;

$y-25=3(x-3)$

Using distributive property; $a \cdot(b+c) = a\cdot b + a\cdot c$

$y-25 = 3x - 9$

Add 25 on both sides, we get;

$y-25+25 = 3x - 9+25$

Simplify:

y =3x + 16

if x = 18 days, then;

y = 3(18) + 16 = 54+16 = 70

Therefore, he will have on day 18, if he continues to add the same number of friends each day is, 70 friends.

7 0

3 years ago