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Anit [1.1K]
2 years ago
7

John invested $4,500 at 5.5% annual simple interest. His maturity value of his investment was $5,545. How long did John invest t

he money? Round to the hundredth.
Mathematics
1 answer:
mart [117]2 years ago
6 0

John invested the money at simple interest for 4.22 years.

We have,

Invested amount = $ 4500

Rate of interest = 5.5 %

Time = t years

Maturity value = $ 5545

So,

Total interest earned =  $ 5545 - $ 4500 = $ 1045

And,

Simple interest = (Principal × Rate × Time ) / 100

So, Using the mentioned formula,

1045 = ( 4500 × 5.5 × t ) /100

1045 = 45 × 5.5 × t

⇒

t = (1045) / (45 × 5.5)

⇒ t = 4.22 years

Therefore, John invested the money at simple interest for 4.22 years.

Learn more about simple interest here:

brainly.com/question/22621039

#SPJ10                  

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Ayanna is 3 years older than Brittany. The sum of 3 times Brittany's age and 2 times Ayanna's age is 76. How old are Ayanna and
Alex_Xolod [135]
Ayanna is 17 and Brittany is 14.

To find this, let's write two equations using the given information.

a = b + 3
3b + 2a = 76

Now, just substitute the first equation into the second and solve.

3b + 2(b + 3) = 76
3b + 2b + 6 = 76
5b = 70
b = 14

If Brittany is 14, then Ayanna is 3 years older at 17.
7 0
3 years ago
Find the length of the missing side. <br><br> 1) 52 cm<br> 2) 42cm<br> 3) 25 cm<br> 4) 48 cm
padilas [110]

Answer:

52 cm

Step-by-step explanation:

Use the pythagorean theorem to solve for missing sides in a right triangle.

20²+48²= missing side

20²+48²=2704

Take the square root of 2704 to get the missing side.

\sqrt{2704 } = 52

8 0
2 years ago
Read 2 more answers
Compound Inequalities <br> (Help)
sladkih [1.3K]
- 8x + 44 ≥ 60
- 8x ≥ 60 - 44
- 8x ≥ 16
x ≤ - 2

- 4x + 50 < 58
- 4x < 58 - 50
- 4x < 8
x > - 2

Now put the two together. Logically, these two answers since a number cannot be both less than AND greater than - 2. 

Your answer should be no solution. 
5 0
3 years ago
You have 350 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the river
IrinaVladis [17]

The length and width that will maximize the area are 175 ft and 87.5 ft respectively

The largest area that can be enclosed is 15312.5 ft²

<h3>Area of a rectangle</h3>
  • area = lw

where

l = length

w = width

The fencing is 350 ft it is use to enclose a rectangular plot with a river occupying one part.

Therefore,

perimeter = l + 2w

350 = l + 2w

l = 350 - 2w

area = (350 - 2w)w

(350 - 2w)w = 0

where

w = 0 or 175

average = 175/2 = 87.5

Hence, the max area is at w = 87.5 ft

Therefore,

l = 350 - 2(87.5) = 175 ft

length = 175 ft

width =  87.5 ft

Therefore,

area = 175 × 87.5 = 15312.5 ft²

Therefore, the largest area that can be enclosed is 15312.5 ft²

learn more on rectangle here: brainly.com/question/11630499

4 0
2 years ago
- 2.6.3 Quiz: Similarity Theorems
ra1l [238]

Answer:

D. 6

Step-by-step explanation:

the similarity theorem:

x/9 = 8/12

12x=8 (9)

12x = 72

x = 72/12

x = 6

8 0
2 years ago
Read 2 more answers
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