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Ber [7]
2 years ago
10

You invest $15,000 into two different accounts. One of the accounts has 4% interest and the other has 3.2% interest. After one y

ear, you have accumulated a total of $545.60 in interest. How much was initially invested in the account with 4% interest?
Mathematics
1 answer:
aivan3 [116]2 years ago
6 0

Answer:

(4%) ... $8200

Step-by-step explanation:

x + y = 15000

.04x + .032y = 545.60

y = 15000 - x

.04x + .032(15000 - x) = 545.60

.008x = 65.6

x=8200

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In 2009, there were 1570 bears in a wildlife refuge. In 2010, the population had increased to
natita [175]

Answer:

8,101\ bears

Step-by-step explanation:

we know that

In this problem we have a exponential function of the form

y=a(b)^{x}

where

x ----> is the number of years since 2009

y ----> is the population of bears

a ----> is the initial value

b ---> is the base

step 1

Find the value of a

For x=0 (year 2009)

y=1,570 bears

substitute

1.570=a(b)^{0}

a=1.570\ bears

so

y=1.570(b)^{x}

step 2

Find the value of b

For x=1 (year 2010)

y=1,884 bears

substitute

1,884=1.570(b)^{1}

b=1,884/1.570

b=1.2

The exponential function is equal to

y=1.570(1.2)^{x}

step 3

How many bears will there be in 2018?

2018-2009=9 years

so

For x=9 years

substitute in the equation

y=1.570(1.2)^{9}

y=8,101\ bears

7 0
3 years ago
mike wants to buy the same number of balloons for 2 of his friends. her has $59, and each balloon costs $7. What is the largest
mihalych1998 [28]

Answer:

4

Step-by-step explanation:

7x8=56 wich is the highest number it can go to

so 8/2=4

3 0
2 years ago
Whats 900+102520253​
zhannawk [14.2K]

Answer:

102521153

Step-by-step explanation:

The answer I found was 102521153.

8 0
2 years ago
Read 2 more answers
BRAINLIESTT ASAP! PLEASE ANSWER MATH EXPERTS :)
natali 33 [55]

Answer:

There are three transformation i.e. vertically stretch, downward and towards left.            

Step-by-step explanation:  

Given : Parent function  and transformed function  

To find : Name the type of function and describe each of the three transformations?

Solution :

Parent function  get transformed into  

The transformations are as follow :

1) The function is multiplied by 2 which means there is a transformation vertically by a stretch factor '2'.

2) The function is subtracted by 5 which means there is a transformation downward by a factor '5'.

3) The function inside x value get added by 3 which means there is a transformation left by a factor '3'.

Therefore, There are three transformation i.e. vertically stretch, downward and towards left.

4 0
3 years ago
The volume of a sphere is 972π ft³.
vladimir1956 [14]

Answer: 9 feet.

Step-by-step explanation:

Let the radius of the sphere = x feet

Therefore, the volume of the sphere = \frac{4}{3} \pi x^3

But, According to the question,

The volume of the sphere = 972\pi \text{ cubic feet }

⇒ \frac{4}{3} \pi x^3 = 972\pi

⇒ x^3 = 972\times \frac{3}{4}

⇒  x^3 = \frac{2916}{4}

⇒  x^3 = 729

⇒ x =9

Thus, the radius of the sphere = 9 feet

5 0
2 years ago
Read 2 more answers
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