Answer:
Step-by-step explanation:
Answer:
Total amount in Joe's savings account T = $448
Step-by-step explanation:
Given;
time t = 3 years
Annual rate r = 4%
Principal P = $400
Simple interest can be expressed as;
I = Prt/100
Substituting the given values;
I =400×4×3/100 = 4800/100
I = $48
Total amount in account T;
T = P + I = $400 + $48 = $448
Options were missing in the question;
A water cup is shaped like a cone. It has a diameter of 3 inches and a slant height of 5 inches. About how many square inches of paper do you need to make a cup? Use 3.14 to approximate pi.
24 square inches
31 square inches
47 square inches
52 square inches
Answer:
24 square inches
Step-by-step explanation:
Given:
Diameter = 3 in
So we can say that;
Radius is half of diameter.
radius (r) = 
Slant height (l) = 5 in
We need to find how many square inches of paper do you need to make a cup.
Solution:
Now according to question we required to find the amount of paper used to make cup.
Also Water cup is shaped liked cone.
Hence we can say that the base of cone is not covered since it will remain open.
So we will use Lateral surface area of the cone to find the paper requirement.
Now we know that;
Lateral surface area of cone is equal to π times radius times slant height.
framing in equation form we get;

Hence We can say that 24 square inches of paper will be needed to make the cup.
Answer:
(x - 1)
Step-by-step explanation:
Given
f(x) = x³ - 2x² - 19x + 20
The sum of the coefficients is 1 - 2 - 19 + 20 = 0
This means that x = 1 is a root and (x - 1) is a factor of f(x)
Answer:
0.41 cm
Step-by-step explanation:
The scale on the map is 1 in 86 mi.
This means that, 1 cm on the map represents 86 miles in real life, or on earth.
Then we're told that in real life, a distance is 35 miles, and how far they are on the map.
If 1 cm equals 86 miles, then we can say that x cm equals 35 miles
1 cm ----> 86
x cm ----> 35
x * 86 = 35 * 1
x = 35 / 86
x = 0.41 cm
Therefore, they must be 0.41 cm farther or closer apart on the map scale.