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dexar [7]
3 years ago
6

Write an exponential function to model the following situation

Mathematics
1 answer:
Dominik [7]3 years ago
7 0

Answer:

y = 140000(1.04)^{x}; 262 000

Step-by-step explanation:

The general formula for an exponential function is

y = a(b)^{x}

a = 140 000; b = 1.04; x = 16

y = 140000(1.04)^{x}

y = 140 000(1.04)¹⁶

y = 140 000 × 1.873

y = 262 000

The graph below shows the population growth over time.

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I think it’s this but I’m not sure

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3 years ago
Small notebooks cost $3.50 and large notebooks cost $5.00. She needs to buy 31 notebooks, and she has $134 to spend. How many sm
Darina [25.2K]

Let's assume

number of small notebooks =x

number of large notebooks =y

we are given

total number of notebooks =31

so, we get

x+y=31

now, we can solve for y

y=31-x

we have

Small notebooks cost $3.50 and large notebooks cost $5.00

she has $134 to spend

so, we get

3.50x+5y=134

now, we can plug y

3.50x+5(31-x)=134

3.50x+5*31-5x=134

-1.5x+155=134

-1.5x+155-155=134-155

x=14

now, we can find y

y=31-14

y=17

so,

number of small notebooks is 14

number of large notebooks is 17.............Answer


6 0
3 years ago
Read 2 more answers
Determine the inequality that can be used to model when the population of bacteria will be greater than or equal to 656,100. The
jenyasd209 [6]

The inequality is 100*3^{t}≤ 656100.

The correct option is (B).

<h3>What is inequality?</h3>

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Given:

From the table attached below:

a=300, r= 900/300 = 3

As, it is GP

Now,

f(t) = ar^{t-1}

f(t) = 300*3^{t-1}

f(t) = 300/3 *3^{t}

f(t) = 100*3^{t}

Inequality is used to determine greater than or equal to 656100

100*3^{t}≤ 656100

Learn more about inequality here:

brainly.com/question/20383699

#SPJ1

4 0
2 years ago
HELP ASAP PLS PLS PLS !
Maslowich

Answer:

(b) the unknown angle is 80°

Step-by-step explanation:

The unkown angle is:

[2(x-10)]°

Substituting "x" by 50 (part a)

[2(50-10)]°=[2(40)]°=80°

6 0
3 years ago
1/4 of all telephones at the office have built-in speaker phones 1/2 of the phone with the built in speaker phones have conferen
neonofarm [45]

Answer:

1/8

Step-by-step explanation:

1/2 of 1/4 is 1/8

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