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2 years ago

SOLVE EQUATION solve for x | 3x+19 | =13 (absolute value)

Mathematics

2 answers:

egoroff_w [7]2 years ago

8 0

Answer:

x=-2 and -32/3

Step-by-step explanation:

|3x+19|=13

3x+19=13 and 3x+19=-13

x=-2 and x=-32/3

Nuetrik [128]2 years ago

4 0

Answer:

x = -2 x = -32/3

Step-by-step explanation:

| 3x+19 | =13

There are two solutions, one positive and one negative

3x+19 = 13 3x+19 = -13

Subtract 19

3x+19-19 = 13-19 3x+19 -19 =-13-19

3x = -6 3x = -32

Divide by 3

3x/3 = -6/3 3x/3 = -32/3

x = -2 x = -32/3

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A car bought for $13,000 depreciates at 15% per year. Use an exponential function to find the value of the car after 5 years.

earnstyle [38]

Answer:

$5768.1

Step-by-step explanation:

Given data

Cost price= $13,000

Depreciation= 15%

Time= 5 years

The expression for the depreciation is given below

A= P(1-r)^t

Substitute

A=13000(1-0.15)^5

A=13000(0.85)^5

A=13000*0.4437

A=$5768.1

Hence after 5 years, the car will be $5768.1

7 0

2 years ago

A bank advertises that it compounds money quarterly and that it will take Double your money in 10 years. what is the interest-ra

S_A_V [24]

The interest rate is 6.992%, if a bank advertises that it compounds money quarterly and that it will take Double your money in 10 years.

Step-by-step explanation:

The given is,

Compounds money quarterly

Double your money in 10 years

Step:1

Formula to calculate future investment with compounded quarterly,

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

Where, A - Future amount

P - Initial investment\

r - Rate of interest

n - No. of compounding in a year

t - No. of years

Step:2

Let, P = X

A = 2X ( Double your money )

From given, n - 4 ( for compounding quarterly )

t - 10 years

From equation (1)

$2X =X(1+\frac{r}{4} )^{(4)(10)}$

$\frac{2X}{X} =(1+\frac{r}{4} )^{(4)(10)}$

$2 =(1+\frac{r}{4} )^{40}$

Take root $40^{th}$ root on both side,

$\sqrt[40]{2} = (1+\frac{r}{4} )$

$1.017479692 = (\frac{4+r}{4} )$

$(1.017479692)(4) = (r+4)$

$4.06992=(r+4)$

$r = 4.06992 -4$

$r =( 0.06992)(100)$

r = 6.992 %

Result:

The interest rate is 6.992%, if a bank advertises that it compounds money quarterly and that it will take Double your money in 10 years.

3 0

2 years ago

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kompoz [17]

L’oréal ,maybelline, milani, elf, and NYX

5 0

3 years ago

Read 2 more answers

In parallelogram DEFG, DH = x + 5, HF = 2y, GH = 4x-3 and HE = 4y + 1. Find the values of x and y. The diagram is not drawn to s

GalinKa [24]

Rule: The diagonals of any parallelogram bisect each other. In other words, they cut each other in half.

This means DF is cut into two equal pieces: DH and HF.
Similarly, GE is cut into two equal pieces: GH and HE.

DH = HF
x+5 = 2y
x = 2y-5

GH = HE
4x-3 = 4y+1
4(x)-3 = 4y+1
4(2y-5)-3 = 4y+1 ... x has been replaced with 2y-5
8y-20-3 = 4y+1
8y-23 = 4y+1
8y-4y = 1+23
4y = 24
y = 6

If y = 6, then x is
x = 2y-5
x = 2(6)-5
x = 12-5
x = 7

--------------------------------------------

Answers:
x = 7 and y = 6

5 0

2 years ago

Question #2:

Lesechka [4]

Answer:

If 4/8 cm = 25 miles

If 4.8 cm = 240 miles

If 48 cm = 2400

Step-by-step explanation:

4/8 x 50

4.8 x 50

48 x 50

I was unsure if there was a fraction bar or decimal. or if it was 48 so I gave all possibilities.

3 0

3 years ago