Which expressions are equivalent to -2.5(1 - 2n) - 1.5n? Select all that apply.
A. -2.5 - 3.5n
B. -2.5 + 3.5n
C. -2.5 - 6.5n
D. -2.5 - n(5 - 1.5)
E. -2.5 + n(5 - 1.5)
Please help!

Answers

Answer 1

Answer: The answers are -2.5 - 3.5n and -2.5 - n(5 - 1.5). Hope that helps!

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Whitch is greater -8 or +8

You decide to put $2000 in a savings account to save for a $3000 down payment on a new car. If the account has an interest rate of 4% per year and is compounded monthly, how long does it take until you have $3000 without depositing any additional funds?

Answers

Answer:

$t=10.2\ years$

Step-by-step explanation:

we know that

The compound interest formula is equal to

$A=P(1+(r)/(n))^(nt)$

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

$t=?\ years\nP=\$2,000\nA=\$3,000\n r=0.04\nn=12$

substitute in the formula above

$3,000=2,000(1+(0.04)/(12))^(12t)$

$1.5=((12.04)/(12)})^(12t)$

Applying log both sides

$log(1.5)=log[((12.04)/(12)})^(12t)]$

$log(1.5)=(12t)log((12.04)/(12))$

$t=log(1.5)/[(12)log((12.04)/(12))]$

$t=10.2\ years$

A minute hand of a large clock is 6 ft long. How far does the point move in an hour?

Answers

The point will move 37.68 feet in a hour.

What is Circumference?

The circumference of the circle, also known as the perimeter of the circle, is the measurement of the circle's boundary. The area of a circle, on the other hand, defines the region it occupies. If we open a circle and draw a straight line through it, the length of the line is the circumference. It is typically measured in units such as centimetres or metres.

We have the minute hand is 6 ft long.

So, the radius = 6 feet

Then, the distance travelled by the tip is

= 2πr

= 2 x 3.14 x 6

= 12 x 3.14

= 37.68 feet

Thus, the minutes hand travel 37.68 feet.

Learn more about Circumference here:

brainly.com/question/28757341

#SPJ3

I have an answer of 73.4 following to the pi and doubled

The following 3-D object is composed of identical cubes. The volume of the 3-D object is 56cm cubed. The surface area of the 3-D object is
a) 30cm squared
b) 60cm squared
c) 120cm squared
d) 144cm squared

Answers

There are 7 equal cubes by inspection that make up the shape.

Each cube has a volume of: (56 cm^3)/7 = 8 cm^3

To find side dimension of cube (knowing a cube is the 3D extrusion of a square meaning all sides are equal:

s = (side dimension) = (8 cm^3)^(1/3) = 2 cm

Also by inspection, there are 5 exposed faces on 6 of the 7 cubes. To find the total surface area, multiply number of exposed faces per cube by the surface area of a single face:

S.A. = 5(6)(2*2) = 120 cm^2

The correct answer is C). 120cm squared

Which measure is less than 435 inches?A 37 ft
B 36 ft 10
C 12 yd 3 in.
D 12 ft 3 in.

Answers

435 inches = 36 1/4 ft.

So, the answer would be D) 12 ft. 3 in.

*Hope I helped :)*

Find the zeros of the function f(x)=2x^2-7x-30

Answers

$2x^2-7x-30=0 \n \na=2 \n b=-7 \n c=-30 \nb^2-4ac=(-7)^2-4 * 2 * (-30)=49+240=289 \n \nx=(-b \pm √(b^2-4ac))/(2a)=(-(-7) \pm √(289))/(2 * 2)=(7 \pm 17)/(4) \nx=(7-17)/(4) \ \lor \ x=(7+17)/(4) \nx=(-10)/(4) \ \lor \ x=(24)/(4) \nx=-(5)/(2) \ \lor \ x=6 \n\boxed{x=-2.5 \hbox{ or } x=6}$

PLEASE ANSWER ASAP AND EXPLAIN!!!!!!!!!!!At an aquarium, researchers are preparing a mixture of salt water. The desired ratio is 90 grams of salt per liter of water.•
1 ounce = 28.35 grams• 1 gallon = 3.8 liters

What is the ratio in ounces per gallon?
A. 0.8 ounce per gallon
B. 3.2 ounces per gallon
C. 12.1 ounces per gallon
D. 23.7 ounces per gallon