All categories

3 years ago

Please help me!!!!

Mathematics

1 answer:

zhenek [66]3 years ago

5 0

Answer:

f(x) = 86(1.04)x; grows approximately at a rate of 0.4% daily

Step-by-step explanation:

The base of the exponential function is 1.29 for 7 days, as in

f(x) = 86*(1.29)^x

The new rate for days can be calculated by dividing x by 7 (where x remains the number of weeks), namely

f(x) = 86*1.29^(x/7)

Using the law of exponents, b^(x/a) = b^(x*(1/a)) = (b^(1/a))^x

we simplify by putting b=1.29, a=7 to get

f(x) = 86*(1.29^(1/7))^x

f(x) = 86*(1.037)^x since 1.29^(1/7) evaluates to 1.037

Rounding 1.037 to 1.04 we get a (VERY) approximate function

You might be interested in

Which function represents g(x), a reflection of f(x) =1/2(3)x across the y-axis?

Tju [1.3M]

G(x) = (1/2)3^-x reflection over y axis yields (-x,y)

7 0

3 years ago

Read 2 more answers

Write sin(2x) cos(6x) as a sum of trigonometric functions.

zhannawk [14.2K]

Use the identity

sin u cos v = 1/2(sin (u + v) + sin(u - v))
so its:-

1/2(sin(8x) + sin (-4x)) Answer

7 0

3 years ago

A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and tes

hammer [34]

Answer:

a) The probability that this whole shipment will be accepted is 30%.

b) Many of the shipments with this rate of defective aspirin tablets will be rejected.

Step-by-step explanation:

We have a shipment of 3000 aspirin tablets, with a 5% rate of defects.

We select a sample of size 48 and test for defectives.

If more than one aspirin is defective, the batch is rejected.

The amount of defective aspirin tablets X can be modeled as a binomial distribution random variable, with p=0.55 and n=48

We have to calculate the probabilities that X is equal or less than 1: P(X≤1).

$P(X\leq1)=P(X=0)+P(X=1)\\\\\\P(0)=\binom{48}{0}(0.05)^0(0.95)^{48}=1*1*0.0853=0.0853\\\\\\P(1)=\binom{48}{1}(0.05)^1(0.95)^{47}=48*0.05*0.0897=0.2154\\\\\\P(X\eq1)=0.0853+0.2154=0.3007$

8 0

4 years ago

How do i solve this by multiplying polynomials?

irina1246 [14]

$3x( {x}^{2} + 6x + 11) + 5( {x}^{2} + 6x + 11) \\ 3 {x}^{3} + 18 {x}^{2} + 33x + 5 {x}^{2} + 30x + 55 \\ 3 {x}^{3} + 23 {x}^{2} + 63x + 55$

4 0

4 years ago

Line r is parallel to line t. Find measure 6. The diagram is not a scale

Ivanshal [37]

Answer:

confusion

Step-by-step explanation:

3 0

3 years ago