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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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Find the slope of the line passing through the points (-2,5) and (3/2, 2).
sveticcg [70]

Answer:

The answer is

<h2>-  \frac{6}{7}</h2>

Step-by-step explanation:

The slope of the line passing through two points can be found by using the formula

<h3>m =   \frac{y2 - y1}{x2 - x1}</h3>

where

(x1 , y1) and (x2 , y2) are the points

From the question

The points are (-2,5) and (3/2, 2)

The slope is

<h3>m =  \frac{2 - 5}{ \frac{3}{2}  + 2}    \\  =   -  \frac{3}{ \frac{7}{2} }  \\  = -  3 \div  \frac{7}{2}  \\  =  - 3 \times  \frac{2}{7}</h3>

We have the final answer as

<h3>-  \frac{6}{7}</h3>

Hope this helps you

8 0
3 years ago
The article "Should You Report That Fender-Bender?"† reported that 7 in 10 auto accidents involve a single vehicle. Suppose 11 a
Bumek [7]

Answer:

0.19975

Step-by-step explanation:

P = nCr pʳ qⁿ⁻ʳ

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1−p).

Given:

n = 11

r = 9

p = 0.7

q = 0.3

Plugging in values:

P = ₁₁C₉ (0.7⁹) (0.3¹¹⁻⁹)

P = 0.19975

3 0
3 years ago
H(a)=-2a + 3<br> g(a)= 2a + 1<br> Find h(a) + g(a)
krok68 [10]

Answer:

4

Step-by-step explanation:

-2a + 3 + 2a + 1

4

4 0
3 years ago
Read 2 more answers
Least common multiple of 8, 12 and 30
Fittoniya [83]
Least common multiple of 8, 12, and 30 is 2
6 0
3 years ago
The function g(t)=−16t2+vt+h represents the height of an object, g, in feet, above the ground in relation to the time, t, in sec
kow [346]

Answer:

A) g(t) = - 16*t² + 80*t

B) domain is  ( 0 ≤ t ≤ 5 )

Step-by-step explanation:

A) for the model rocket

h = 0    and  v = 80 feet/sec

Then the equation     g(t)  = -16*t² + v*t + h

became

g(t) = - 16*t² + 80*t + 0         g(t) = - 16*t² + 80*t

B) The equation  g(t) = - 16*t² + 80*t  is defined for all real numbers then the domain interval for t is ( -∞ , ∞ ). Now in our case, a model rocket was launched is not possible to get negative values for g(t)  then the biggest value for t = 5 from

-16*t²  +  80*t  ≥ 0

-16*t  ≥ -80       16*t ≤ 80

t ≤ 5

And the domain is  ( 0 ≤ t ≤ 5 )

8 0
3 years ago
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