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Paraphin
2 months ago
7

Supervisor: "I think you have been doing a great job, but you haven't been signing many people up for our new service feature. I

want you to set a goal of signing up 25% of your new customers for our new service feature."
Representative: "If I get 96 new customers that means I have to get __________ of them to sign up for the new service feature."
Mathematics
1 answer:
PIT_PIT [12.4K]2 months ago
6 0

24 new customers

Calculating 25% of 96 customers results in 24

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Sarah invested $2,500 in an account paying an interest rate of 2.1% compounded continuously. Assuming no deposits or withdrawals
Svet_ta [12734]

Response:

$3,000

Detailed breakdown:

This scenario is centered around compound interest, with the formula for compound interest defined as

Provided Data

A = final amount  =?

P = initial principal balance  = $2,500

r = interest rate = 2.1%= 0.021

t = number of time units passed= 14 years

By inserting our data into the compound interest equation, we can determine the final amount

A= 2500(1+0.021)^1^4\\A= 2500(1.021)^1^4\\A= 2500*1.3377\\A= 3344.25\\

Therefore, rounding to the nearest hundred gives us an account balance of $3,000

6 0
26 days ago
A factory produces 5-packs of pencils. To be within the weight specifications, a pack of 5 pencils should weigh between 60 grams
zzz [12365]
Given:
1 pack = 5 pencils and cardboard.
1 pack should weigh between 60 grams and 95 grams

60g < x < 95g; where x signifies 1 pack.

Cardboard: 15 grams.

95g - 15g = 80g represents the maximum total weight of 5 pencils.
80g / 5 = 16g is the maximum weight for a single pencil.

60g - 15g = 45g is the minimum total weight of 5 pencils.
45g / 5 = 9g is the minimum weight for a single pencil.

9 < x < 16; where x represents a single pencil in the pack.

8 0
25 days ago
What is the cosine ratio for angle F?
babunello [11817]

Response:

option D

Step-by-step reasoning:

Provided in the prompt is a right-angled triangle FGH.

Base of triangle = 12

Height of triangle = 5

Hypotenuse of triangle = 13

To solve the question, we'll apply trigonometric identities.

cos(F) = adjacent / hypotenuse

cos(F) = height / hypotenuse

cos(F) = 5 / 13

Thus, the cosine ratio for angle F is 5 / 13

6 0
22 days ago
F(x) = -4x(2)+ 12x – 9
AnnZ [12381]

For this context, we examine the function:

f (x) = - 4x ^ 2 + 12x-9

y = 0 presented as:

-4x ^ 2 + 12x-9 = 0

The definition of the discriminant in a quadratic equation is provided by:

a = -4\\b = 12\\c = -9

Sentences correspond to the types of roots: Different real roots, equal real roots, or distinct complex roots

d = b ^ 2-4 (a) (c)

d> 0:Upon substituting the provided values, we arrive at

d = 0:

d

This indicates that there are two equal real roots.

To discover the intersections along the x-axis, we apply the quadratic formula:d = (12) ^ 2-4 (-4) (- 9)\\d = 144-144

d = 0

Plugging in the values yields: y = 0:

-4x ^ 2 + 12x-9 = 0

The intersection on the x-axis is

x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}

x = \frac {-12 \pm \sqrt {12 ^ 2-4 (-4) (- 9)}} {2 (-4)}\\x = \frac {-12 \pm \sqrt {144-144}} {- 8}\\x = \frac {-12 \pm0} {- 8}\\x = \frac {-12} {- 8}\\x = \frac {3} {2}

(\frac {3} {2}, 0)

5 0
18 days ago
Read 2 more answers
You are given a bag of coins with varying biases.the probability of heads is a random variable sample from uniform distribution
Inessa [12570]

Answer:


Step-by-step explanation:




Imagine having a collection of n biased coins, and you draw m<n of them without replacement, subsequently measuring each coin i for its parameter pi∈[0,1], indicating that each coin behaves as Bernoulli(pi). Now, I am curious to determine the most probable pm+1 for the next coin I choose. The only method I can think of is calculating the average of the parameters of the m coins sampled thus far, which can be expressed as: p^m+1=p1+…+pmm.

4 0
1 month ago
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