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3 years ago

Find the y intercept of the line 3 x − 2 y = 16

Mathematics

1 answer:

kati45 [8]3 years ago

5 0

Answer:

y-intercept = (0,-8)

Step-by-step explanation:

To find the y-intercept, substitute in 0 for x and solve for y.

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◕ A dealer sold a photocopy machine at Rs 4200 with 13% VAT to a retailer. The retailer added transportation cost of Rs 250 , pr

satela [25.4K]

Given :-

A dealer sold a photocopy machine at Rs 4200 with 13% VAT to a retailer.
The retailer added transportation cost of Rs 250 , profit Rs 300 and local tax Rs 150 and sold to consumer .
Customer has to pay 13% VAT .

To Find :-

Amount to be paid by the customer .

Solution :-

Here , according to the question ,

$\sf\dashrightarrow Cost\ of \ machine \ = \ Rs 4200$

$\sf\dashrightarrow VAT = 13\%$

Therefore cost after adding VAT ,

$\sf\dashrightarrow Cost = Cost_{initial}+13\% of Cost_{initial}\\$

$\sf\dashrightarrow Cost = Rs4200 + Rs 4200 \times \dfrac{13}{100}\\$

$\sf\dashrightarrow Cost = Rs4200 + Rs546\\$

$\sf\dashrightarrow \bf{ Cost = Rs 4746}$

Again the values added by the retailer before selling to customer ,

Transport = Rs 250
Profit = Rs 300
Tax = Rs 150

Therefore total cost after adding these ,

$\sf\dashrightarrow Cost = Rs( 4746+ 250+ 300 + 150 )\\$

$\sf\dashrightarrow\bf { Cost = Rs 5446}$

Again Selling price after addition of 13% VAT ,

$\sf\dashrightarrow SP = Rs 5446 + 13\% \ of \ Rs 5446\\$

$\sf\dashrightarrow SP = Rs 5446 + \dfrac{13}{100}\times 5446 \\$

$\sf\dashrightarrow SP = Rs (5446 + 707.98) = Rs ( 5446 + 708)\\$

$\sf\dashrightarrow \underline{\underline{\bf SP_{to\ the \ customer} = Rs 6154}}$

Hence the amount to be paid by the customer is Rs 6154 .

3 0

2 years ago

Read 2 more answers

Which Expression is equivalent to 48z +42q A) 6(8z+7q) B) 6*8z+7q C) 8z+7q

Butoxors [25]

Answer:

6(8z+7q)

Step-by-step explanation:

48z+42q

Factor out 6.

6(8z+7q)

5 0

3 years ago

The area of a triangle is 36 4/5 units squared and the height of the triangle 9 1/5 what is the length of the triangles base

den301095 [7]

Answer:

Height = 8 units

Step-by-step explanation:

Area of a triangle = $36\frac{4}{5}$ square units

= $\frac{184}{5}$ square units

Height of the triangle = $9\frac{1}{5}$ units

= $\frac{46}{5}$ units

Formula to calculate the area of a triangle is,

Area = $\frac{1}{2}(\text{Base})(\text{Height})$

$\frac{184}{5}= \frac{1}{2}\times (\frac{46}{5})\times (\text{Height})$

$\frac{184}{5}= (\frac{46}{10})\times (\text{Height})$

Height = $\frac{184}{5}\times \frac{10}{46}$

= $\frac{368}{46}$

= 8 units

Therefore, height of the given triangle is 8 units.

6 0

3 years ago

Read 2 more answers

Which expression has twice the value of 2•2•2•2•2? A. 2^6 B. 2^10 C. 4^5 D. 4^10

IgorC [24]

2x2x2x2x2=32

32x2=64

2x2x2x2x2x2=64

2^6 is your answer

3 0

3 years ago

Read 2 more answers

Debra plans to invest $2,250 for 10 years. She can invest in a savings account that pays 4% simple intrest or a savings account

Diano4ka-milaya [45]

Answer:

$\$180.55$

Step-by-step explanation:

step 1

Simple interest

we know that

The simple interest formula is equal to

$A=P(1+rt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=10\ years\\ P=\$2,250\\r=4\%=4/100=0.04$

substitute in the formula above

$A=2,250(1+0.04*10)$

$A=2,250(1.4)$

$A=\$3,150$

step 2

Interest compounded annually

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=10\ years\\ P=\$2,250\\r=4\%=4/100=0.04\\n=1$

substitute in the formula above

$A=2,250(1+\frac{0.04}{1})^{1*10}$

$A=2,250(1.04)^{10}$

$A=\$3,330.55$

step 3

Find the differences between the two final amounts

$A=\$3,330.55-\$3,150=\$180.55$

5 0

3 years ago