MATHEMATICS HIGH SCHOOL

Solve the problem. Round to the nearest cent.Mark knows that he will need to buy a new car in 5 years. The car will cost $15,000 by then. How much should he invest now at 8%, compounded quarterly, so that he will have enough to buy a new car?
a. $9452.54
c. $12,328.91
b. $11,025.45
d. $10,094.57

Answers

Answer 1
Answer:

Answer:

He invest $10101.01.

Step-by-step explanation:

Given : Mark knows that he will need to buy a new car in 5 years. The car will cost $15,000 by then.

To find : How much should he invest now at 8%, compounded quarterly, so that he will have enough to buy a new car?  

Solution :

Using compound interest formula,

A=P(1+r)^t

Where, A is the amount  A=$15000

P is the principle P=?  

r is the rate r=8%=0.08

t is the time t= 5 years

Substitute the value,

A=P(1+r)^t

15000=P(1+(0.08)/(4))^(5*4)

15000=P(1+0.02)^(20)

15000=P(1.02)^(20)

15000=P* 1.485

P=(15000)/(1.485)

P=10101.01

Therefore, He invest $10101.01.
Answer 2
Answer:

Answer:

d

Step-by-step explanation:

x - initial investment

8% - annual rate

x·=15,000,

so x = 10094.54    

ANSWER: $10,094.57

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A zoo has 1,361 visitors on Saturday and 549 visitors on Sunday. What is the best estimate of the total number of visitors?

Answers

Answer:

1,900

Step-by-step explanation:

Answer:

1900 is my pick

Step-by-step explanation:

In a video game, two golfers tee off at hole 6, which has the coordinates (–32, –27). Golfer A’s ball lands at (–43, –18). Golfer B’s ball lands at (–44, –16). Which golfer hit the longer shot?

Answers

Answer:

Golfer B's hit the longer shot.

Step-by-step explanation:

In a video game, two golfers tee off at hole 6

Position of hole at (-32,-27)

Golfer A's ball lands at (-43,-18)

Golfer B's balls lands at (-44,-16)

Distance formula:

d=√((x_2-x_1)^2+(y_2-y_1)^2)

Distance of shot of Golfer A's =√((-32+43)^2+(-27+18)^2)=√(11^2+9^2)\approx 14.21

Distance of shot of Golfer B's =√((-32+44)^2+(-27+16)^2)=√(12^2+11^2)\approx 16.28

16.28 > 14.21

Golfer B's shot > Golfer A's shot

Hence, Golfer B's hit the longer shot.
Using Pythagoras' theorem, you can work out the distance the balls travelled.
Golfer A: -43 - -32 = -43 + 32 = -11
-27 - -16 = -27 + 16 = -11
a² + b² = c²
(-11)² + (-11)² = √242 = 15.556

Golfer B: -44 - -32 = -44 + 32 =  -12
-27 - -16 = -27 + 16 = -11
a² + b² = c²
(-11)² + (-12)² = √265 = 16.278

∴ B hit the longest shot. 

Which phrase could be represented by this expression? 2m + 7
a. seven more than half a number
b. seven more than twice a number
c. twice the sum of a number and seven
d. two more than seven times a number

Answers

The answer has to be B

The answer is A 100% correct *checked by an genius

What is

3x-2y=9
y=2x-7

Answers

Okay, these get easy with practice so don't post all of these online. First, substitute y in 3x-2y=9 for what it says y equals (2x-7). You now have: 3x-2(2x-7)=9. Breakdown:
3x-2(2x-7)=9
3x-4x+14=9
-1x=-5
x=5
next solve for y
y=2x-7
y=2(5)-7
y=10-7
y=3
And now we have x=5, and y=3.
Since you know that "y" is equivalent to "2x - 7" you can substitute that into the first equation

3x - 2y = 9
3x - [2(2x-7)]= 9
3x - (4x - 14) = 9
3x - 4x + 14 = 9
-x + 14 = 9
-x = -5
x = 5


y = 2x - 7 
y = 2(5) - 7
y = 10 - 7
y = 3

a flower bed is in the shape of triangle with one side twice the length of the shortest side and the third side is 28 feet more thanthe length of the shortest side. find the dimensions if the perimeter is 184 feet.

Answers

x - the shortest side
2x
x + 28

The sum of these must be equal to the perimeter of the flower bed, so 

x + 2x + x + 28 = 184

4 x + 28 = 184  Combined like terms

4x = 156  Subtracted 28 from both sides

x = 39  Divided both sides by 4.

So the dimensions are 39 feet, 78 feet, and 67 feet

Final answer:

The problem involves finding the sides of a triangle given the perimeter and conditions for each side. After setting up an equation based on the conditions and solving for x, which is assumed to be the shortest side, the sides of the triangle are found to be 39 feet, 78 feet, and 67 feet.

Explanation:

This is a mathematical problem involving triangles and perimeter. The perimeter of a triangle is the sum of all of its sides. In your case, if we assume the shortest side to be x feet, then the other two sides, according to the question, are 2x feet and x+28 feet. Since the perimeter is 184 feet, these can be added together and set equal to 184, as such:

x + 2x + (x+28) = 184.

Add together like terms:

4x + 28 = 184.

Subtract 28 from both sides:

4x = 156.

Divide both sides by 4:

x = 39 feet.

Therefore, the sides of the triangle are 39 feet, 78 feet (2 * 39), and 67 feet (39 + 28).

Learn more about Triangles & Perimeter here:

brainly.com/question/29472908

#SPJ3

Planning for the possiblity that your home might get struck by lightning and catch on fire is part of a plan for _____.

Answers

Answer:

protecting assets

Step-by-step explanation:

Answer:

Emergency

Step-by-step explanation:

Answered already

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