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Anni [7]
3 years ago
15

A person invested $2,500 in an account growing at a rate allowing the money to

Mathematics
1 answer:
sveta [45]3 years ago
3 0

Answer:

Step-by-step explanation:

A person invested $2,500 in an account growing at a rate allowing the money to double every 11 years. How long, to the nearest tenth of a year would it take for the

value of the account to reach $3,800?

The formula for exponential growth given as:

A(t) = Ao (1/2)^t/t½

A(t) = Amount after time t = $3,800

Ao = Initial amount invested = $2500

t = Time in years

t½ = Time it takes to double = 11 years

Hence,

3800 = 2500(1/2)^t/11

Divide both sides by 2500

3800/2500 = 2500(1/2)^t/11/2500

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Suppose that the credit remaining on a phone card (in dollars) is a linear function of the total calling time (in minutes). When
Virty [35]

Answer:

Credit remaining after 21 minutes = $30.4

Step-by-step explanation:

Credit remaining on a phone card is a linear function of the total calling time.

When graphed, let the linear function representing the line is,

y = mx + b

Where 'm' = slope of the line

b = y-intercept

From the graph,

Slope of the line = -0.12

y = -0.12x + b

If this line passes through a point (33, 28.96),

28.96 = -0.12(33) + b

b = 28.96 + 3.96

b = 32.92

Therefore, the linear function is,

f(x) = -0.12x + 32.92

where x = calling time

Credit left in the card after 21 minutes,

f(21) = -0.12(21) + 32.92

      = -2.52 + 32.92

      = $30.4

6 0
3 years ago
How much is 0.97 to 0.465?
RoseWind [281]
It is a decrease by .505
3 0
3 years ago
What is the rate of interest on a loan of $2,000, for 284 days, if the amount of interest is $93.37, using the exact interest me
Viefleur [7K]

Answer: Option (c) is correct. Rate of interest = 6% p.a.

Step-by-step explanation:

Given that,

principal amount = $2000(loan)

time period =  284 days

interest amount (SI) = $93.37

we have to calculate the rate of interest (i),

Simple interest(SI) = principal amount × rate of interest (i) × time period

93.37 = 2000 × i × \frac{284}{365}

i = \frac{34080.05}{568000}

i = 0.06

i = 6%

3 0
3 years ago
X = mb + y <br><br> Is this written out in slope intercept form?
Anna [14]

Answer:

no

Step-by-step explanation:

y=mx+b

hope this helps

8 0
3 years ago
Read 2 more answers
A circle has its center at the center of a square with 12-inch sides. Using 3.14 for pi, find the area of the square not covered
Dmitrij [34]
So first, find the area of the square. 12x12= 144inches^2
Then find the area of the circle. To do this we use pi x r^2. The radius of the circle is 6 inches. Pi x 6^2 = 113.04inches^2.
144 - 113.04 = 30.6, so your answer is 30.6 inches^2

The circles circumference is worked out by using pi x d. The diameter is 12 inches, so 3.14x12 = 37.68 inches.
The squares perimeter is 12 x 4 = 48 inches.
If you round up the circumference of the circle to the nearest integer, you get 38 inches. The ratio would therefore be, 38:48, which can be rounded down to 19:24 :)
5 0
3 years ago
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