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3 years ago

James is buying a table.He finds the same table for sale in two different shops.

Mathematics

1 answer:

mina [271]3 years ago

6 0

"Table World" is quoting a better price

<u>Step-by-step explanation:</u>

The shop "Table World" is quoting a price of 140 inclusive of 17.5% VAT

that means 140 is the final price a customer needs to pay.

While other shop"Tables R us" is quoting a price of 120 without VAT

so we need to add VAT in the price to find out the final price

price+VAT on the price

=120+120*(17.5/100)

=120+120*0.175

=120+21

so final price =141

so comparatively "Table World" is quoting a better price

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A bank loaned out $68,000, part of it at the rate of 13% per year and the rest at a rate of 5%per year. If the interest received

marin [14]

Answer: $31000 was loaned at 13%.

Step-by-step explanation:

Let x represent the amount loaned out at 13% interest rate.

Let y represent the amount loaned out at 5% interest rate.

The bank loaned out $68,000, part of it at the rate of 13% per year and the rest at a rate of 5%per year. It means that

x + y = 68000

The interest received made from $x in one year is

13/100 × x = 0.13x

The interest received made from $y in one year is

5/100 × x = 0.05y

If the interest received was $5880, it means that

0.13x + 0.05y = 5880- - - - - - - - - 1

Substituting x = 68000 - y into equation 1, it becomes

0.13(68000 - y) + 0.05y = 5880

8840 - 0.13y + 0.05y = 5880

- 0.13y + 0.05y = 5880 - 8840

- 0.08y = - 2960

y = - 2960/- 0.08

y = 37000

x = 68000 - y = 68000 - 37000

x = $31000

5 0

3 years ago

Compare the graph of g(x) = 6x2 with the graph of f(x) = x2.

sertanlavr [38]

Answer:

see explanation

Explanation:

the graph of g(x) is the graph of f(x) shifted vertically by

+ 6 units

or equivalent to a translation

(

)

in general

(

)

for

shift is

(

)

↑

⏐

for

shift is

(

−

)

⏐

↓

graph{(y-x^2)(y-x^2-6)=0 [-20, 20, -10, 10]}

Step-by-step explanation:

3 0

3 years ago

Sofie claims to be a tasting expert. To test her abilities, someone bakes Sofie a cake using 3 of the following

Furkat [3]

Summing all the ingredients to get the total sample size, we applied the formula for obtaining the probability which is

Pr(3) = 0.5

<h3>Probability</h3>

Given Data

Sample Space

Coffee

Nutmeg

Vanilla

Cinnamon

Sea salt

Ginger

Total Sample size = 6

Probability of identifying 3 ingredient used is

Pr(3) = 3/6

Pr(3) = 1/2

Hence the Probability is 0.5

Learn more about probability here:

brainly.com/question/25870256

6 0

2 years ago

A cat weighs more or less than one ounce????

Delvig [45]

Answer:

i believe more than 1 ounce let me know if im wrong

Step-by-step explanation:

4 0

2 years ago

Question set 2: Many species of terrestrial tree frogs that hibernate at or near the ground surface can survive prolonged exposu

joja [24]

Answer:

0.86

Step-by-step explanation:

The z-score we need to make the comparison is given by

$\bf z=\frac{-2.05-(-2)}{\sigma/\sqrt{n}}$

where

$\bf \sigma$ = the standard deviation established in the study

n = the sample size

$\bf z=\frac{-2.05-(-2)}{0.3/\sqrt{42}}=-1.0801$

and for the Normal distribution N(0,1) we want to find

By using a spreadsheet or the table attached, we find that

P(X > -1.0801) = 0.86

(See picture attached)

7 0

3 years ago