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alexira [117]
3 years ago
13

I need help with an Exponential Growth & Decay Word Problem. This is the problem: Mr. Jacobs won $1,000,000 in the lottery.

He withdraws 10% of the money every year. How much money will he have left after 20 years? [Round your answer to the nearest dollar]

Mathematics
1 answer:
liraira [26]3 years ago
8 0
Remember that for decay A=P(1-r/100)^n
A=end amount
P=principal (initial) amount
R=rate
n=time (in this case, years)
For growth it is A=P(1+r/100)^n

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Triangle ABC is shown below.
Andrew [12]

Answer:

C.) 14

Step-by-step explanation:

Look at the triangle: angles b and c have the same arch, so they are congruent.

In a triangle, if two angles are congruent, then the triangle is isosceles, having two equal sides.

The sides opposite the congruent angles are congruent:

∠B → opposite side → AC

∠C → opposite side → AB

The sides AB and AC are equal. Make an equation:

AB=AC\\\\2x=3x-7

Simplify the equation, solving for x. Add 7 to both sides:

2x+7=3x-7+7\\\\2x+7=3x

Subtract 2x from both sides:

2x-2x+7=3x-2x\\\\7=x

The value of x is 7. Insert the value of x into the given length of AC:

AC=3(7)-7

Simplify multiplication:

AC=21-7

Subtract:

AC=14

Therefore, the length of the line segment AC is 14.

:Done

8 0
3 years ago
You cook a turkey in an oven for 3 hours and 45 minutes. Let f(t) be the temperature (in degrees Fahrenheit) of the turkey t hou
Thepotemich [5.8K]

You cook a turkey in an oven for 3 hours and 45 minutes. Let f(t) be the temperature (in degrees Fahrenheit) of the turkey t hours after being placed in the oven.

a) At t = 0

temperature of turkey is 67 degree  Fahrenheit

b) At t = 3.75

temperature of turkey is 165 degree  Fahrenheit

c) t = 3

temperature of turkey is 4 degree  Fahrenheit

d) at t = 3.75

temperature of turkey is 169 degree  Fahrenheit

<h3>What is basic algebra ?</h3>

Algebra is a branch of mathematics that facilitates the description of problems or situations into mathematical statements. It involves variables like x, y, and z as well as mathematical operations like addition, subtraction, multiplication, and division to generate a valid mathematical statement. All branches of mathematics, such as coordinate geometry, calculus, and trigonometry, employ algebra. An elementary algebraic formula is 2x + 4 = 8. Algebraic expressions serve as the mathematical statement when operations on variables and constants, such as addition, subtraction, multiplication, division, etc., are done.

Given that : You cook a turkey in an oven for 3 hours and 45 minutes. Let f(t) be the temperature (in degrees Fahrenheit) of the turkey t hours after being placed in the oven.

a) At t = 0

temperature of turkey is 67 degree  Fahrenheit

b) At t = 3.75

temperature of turkey is 165 degree  Fahrenheit

c) t = 3

temperature of turkey is 4 degree  Fahrenheit

d) at t = 3.75

temperature of turkey is 169 degree  Fahrenheit

To learn more about basic algebra visit :

brainly.com/question/15167098

#SPJ9

8 0
1 year ago
KEVIN'S GAS TANK IS 1/6 FULL. AFTER HE BUYS 14 GALLONS OF GAS, IT IS 3/4 FULL. HOW MANY GALLONS CAN KEVIN'S TANK HOLD?
Reika [66]

\frac 1 6 t  + 14 = \frac 3 4 t


14 = (\frac 3 4 - \frac 1 6)t = (\frac 9{12} - \frac{2}{12}) t = \frac {7}{12} t


t = \frac{12}{7} (14) = 24


Answer: 24 gallons


Check: (1/6)24=4, 4+14=18, 18/24=3/4, good


5 0
3 years ago
Read 2 more answers
How do I solve this to find angle G?
VashaNatasha [74]

Answer:

Step-by-step explanation:

The angle at E is 90 degrees.

All tangents of a circle always meet the radius at a 90 degree angle.

90 + 67 + G = 180o    All triangles have 180 degrees. Combine left.

157 + G = 180o           Subtract 157 from both sides.

157 - 157 + G + 180 - 157

G = 23

5 0
3 years ago
Mrs. Greever has four square desks pushed
Sophie [7]

Answer111

Step-by-step explanation:i111

4 0
3 years ago
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