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agasfer [191]
3 years ago
5

Find the balance in the account after the given period. ​$4000 principal earning 4​% compounded​ annually, 5 years

Mathematics
1 answer:
AnnZ [28]3 years ago
8 0
I = P • R • T

= ( 4000 ) ( 0.04 ) ( 5 )

$ 800


NB = I + P

$ 800 + $ 4000
NB = $ 48000
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He mean potassium content of a popular sports drink is listed as 140 mg in a 32-oz bottle. Analysis of 20 bottles indicates a sa
mezya [45]

Answer: (A) H0: μ = 140 mg vs. H1: μ ≠ 140 mg

Step-by-step explanation:

Usually null hypothesis represents the claim that the values associated to the groups being tested have no statistical difference but alternative hypothesis supports the claim that there is statistical difference.

Let \mu be the population mean .

We are given that the mean potassium content of a popular sports drink is listed as 140 mg in a 32-oz bottle.

i.e. Null hypothesis :H_0:\mu=140

Alternative hypothesis for two tail hypothesis has sign (≠).

i.e. Alternative hypothesis : H_1 : \mu\neq140

∴ The hypotheses for a two-tailed test of the claimed potassium content:

H0: μ = 140 mg vs. H1: μ ≠ 140 mg

3 0
3 years ago
to build the garden of your dreams you need 11 m^3 of coil containing 46% clay. you have two types of soil you can combine to ac
aivan3 [116]

Answer: 9m^3 of soil with 50% clay and 2m^3 of soil with 28% clay is required

Step-by-step explanation:

Let x represent the quantity of the soil containing 50% clay that you would use.

Let y represent the quantity of the soil containing 28% clay that you would use.

To build the garden of your dreams you need 11 m^3 of soil.

x + y = 11 - - - - - - - - -1

Since the soil must contain 46% clay, the total amount of clay required is 46/100 × 11 = 5.06 m^3.

you have two types of soil you can combine to achieve this: soil with 50% clay and soil with 28% clay. This means that the quantity of both soils required to achieve 5.06 m^3 will be

0.5x + 0.28y = 5.06 - - - - - - - -2

Substituting x = 11 - y into equation 1, it becomes

0.5(11 - y) + 0.28y = 5.06

5.5 - 0.5y + 0.28y = 5.06

- 0.5y + 0.28y = 5.06 - 5.5

- 0.22y = - 0.44

y = - 0.44/ -0.22 = 2

Substituting y = 2 into x = 11 - y, it becomes

x = 11 - 2 = 9

7 0
3 years ago
Apply Your Knowledge
vladimir2022 [97]

Answer:

$25

Step-by-step explanation:

We know,

Monthly interest = (Principal × Interest rate) ÷ 12

Given,

Loan principal = $3,000

Interest rate = 10% = 0.10

Therefore, monthly interest = ($3,000 × 0.10) ÷ 12

Monthly interest = $300 ÷ 12

Monthly interest = $25

Therefore, the principal amount to be paid per month is = $(96.80 - 25) = $71.80.

So, Jamison will pay $25 as interest for the 36-month $3,000 loan.

8 0
3 years ago
Rewrite 6(40-10) using distributive property of multiplication over subtract
Stells [14]

Answer:

240-60

Step-by-step explanation:

Multiply both numbers inside the parenthesis by what's on the outside

4 0
3 years ago
Triangle 1 is composed of line segments AB, BC, and CA.
ANTONII [103]

Given that both triangles are similar and have a scale of 5:2, therefore the true statement about the proportions of the sides is:

B. AC/DF = 5/2

<h3>What are Similar Triangles?</h3>
  • Similar triangles have corresponding side lengths that are proportional in length.
  • Similar triangles have same shape but are of different sizes.

Thus, given that both triangles are similar and have a scale of 5:2, therefore the true statement about the proportions of the sides is:

B. AC/DF = 5/2

Learn more about similar triangles on:

brainly.com/question/2644832

8 0
2 years ago
Read 2 more answers
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