Find the x intercept of f(x)=-4(2)^x+1<br>the x is a exponent then the whole problem adds one

Can someone please solve this problem please and thank you

WITCHER [35]

Tan² B = 4
(tan B)² = 4
tan B = ±2

Basic Angle
= tan^-1 2
= 63.4° (1dp)

B = 63.4°, 116.6°, 243.2°, 296.6°

Assuming you're actually supposed to present your answers in 0dp, then all answers apply.

8 0

3 years ago

Type the correct answer in the box. use numerals instead of words. a population of beetles increases by 5% every year. if at the

Allushta [10]

At the end of the third year the population of beetles will be 11,576beetles

<h3>Exponential equations</h3>

The standard form of an exponential function is given as:

y = ab^t

Given the following parameters

initial population 'a" = 10,000 beetles

Time = 3 years

rate b = 1.05

Substitute into the formula

y = 10,000(1.05)^3

y = 10,000(1.1576)
y = 11,576 beetles

Hence at the end of the third year the population of beetles will be 11,576beetles

Learn more on exponential function here: brainly.com/question/12940982

#SPJ4

4 0

2 years ago

3576 divided by 9.1 show steps

bekas [8.4K]

392.967032967
...................................................................

3 0

4 years ago

Read 2 more answers

How long will it take for an investment to triple, if interest is compounded continuously at 8%?

maw [93]

Answer:

<em>It will take 14 years before the investment triples</em>

Step-by-step explanation:

<u>Continuous Compounding</u>

Is the mathematical limit that compound interest can reach if it was calculated and reinvested into an account's balance over a theoretically infinite number of periods.

The formula for continuous compounding is derived from the formula for the future value of a compound interest investment:

$FV = PV\cdot e^{i.t}$

Where:

FV = Future value of the investment

PV = Present value of the investment

i = Interest rate

t = Time

It's required to find the time for an investment to triple, that is, FV = 3 PV, knowing the interest rate is i=8%=0.08.

Substituting the known values:

$3PV = PV\cdot e^{i.t}$

Dividing by PV:

$3 = e^{i.t}$

Taking logarithms:

$\ln 3=i.t$

Solving for t:

$\displaystyle t=\frac{\ln 3}{i}$

$\displaystyle t=\frac{\ln 3}{0.08}$

t = 13.7 years

Rounding up:

It will take 14 years before the investment triples

6 0

3 years ago

How do I found a scale factor of a scale copy?

love history [14]

Answer:

first you have to look at one of the sides of the scaled copy. If they are divisible by the numbers in the original shape, then try and see if the others sides of the scaled copy are scaled by the same factor. If they are, then they are a scaled copy.

Step-by-step explanation:

6 0

3 years ago

Find the x intercept of f(x)=-4(2)^x+1the x is a exponent then the whole problem adds one​

Find the x intercept of f(x)=-4(2)^x+1the x is a exponent then the whole problem adds one