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lord [1]
2 years ago
12

write an exponential formula of the form f (t)= a×b^t to represent the following situation. assume t is in years. The beginning

population is 27, 000, decreasing by 3.5% annually. f(t)=__________​
Mathematics
1 answer:
nika2105 [10]2 years ago
5 0

Answer:

f(t)= 27000 * 0.965^t

Step-by-step explanation:

Given

a = 27000 -- initial

r = 3.5\%

Required

The exponential equation

The exponential equation is

y =ab^t

Where

b=1 -r

We used minus, because the rate decreases..

So, we have:

b=1 -3.5\%

b=1 -0.035

b=0.965

So:

y =ab^t

y = 27000 * 0.965^t

Hence:

f(t)= 27000 * 0.965^t

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if Mr hansons motorcycle drives 432 miles on 6 gallons of gas how much gas will he need to drive 738​
lozanna [386]

Answer:

10.25 gallons

Step-by-step explanation:

432 miles / 6 gallons=72 miles to gallon

738 miles / 72 miles per gallon=10.25 gallons

6 0
3 years ago
I need help n pls explain ​
WARRIOR [948]

Answer:

The correct option is C). When it was purchased, the coin was worth $6

Step-by-step explanation:

Given function is f(t)=6\times2^{t}

Where t is number of years and f(t) is function showing the value of a rare coin.

A figure of f(t) shows that the graph has time t on the x-axis and f(t) on the y-axis.

Also y-intercept at (0,6)

hence, when time t was zero, the value of a rare coin is 6$

f(t)=6\times2^{t}

f(0)=6\times2^{0}

<em>f(0)=6</em>

Thus,

The correct option is C). When it was purchased, the coin was worth $6

6 0
2 years ago
I need help!! I don't know how to do this at all
Harman [31]
You have to make a proportion:
12+x/8=8/x
Then cross multiply to solve for x
8 0
3 years ago
Un depósito abierto tiene la forma de un cono circular recto Un depósito abierto tiene la forma de un cono circular recto. El de
balu736 [363]

i do not speak spanish

7 0
3 years ago
A triangle is such that the largest angle is 7 times the smallest angle. The third angle is 15 less than the largest angle. Find
Tcecarenko [31]

Answer:

<u>The smallest angle measures 13°, the largest angle measures 91° and the third angle measures 76°</u>

Step-by-step explanation:

Let's recall that the interior angles of a triangle add up to 180°, therefore we have:

Smallest angle = x

Largest angle = 7x

Third angle = 7x - 15

Now, we can solve for x, using the following equation:

x + 7x + 7x - 15 = 180

15x = 180 + 15

15x = 195

x = 195/15

x = 13 ⇒ 7x = 91 ⇒ 7x - 15 = 76

<u>The smallest angle measures 13°, the largest angle measures 91° and the third angle measures 76°</u>

8 0
2 years ago
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