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In-s [12.5K]
3 years ago
7

Solve for y in the equation

2)=5y-4" align="absmiddle" class="latex-formula"> and give the reason for each step in the process
Mathematics
1 answer:
Roman55 [17]3 years ago
3 0

Answer:

y=5

Step-by-step explanation:

3(y+2)=5y-4 : given

3y+6=5y-4    : distributive property (multiply things in parentheses by the outer value of 3)

3y+10=5y         : add 4 to both sides to isolate the right side y value

10=2y                 : subtract 3y from both sides to further isolate "y" and the constant

y=5                    : divide by 2 on both sides to get value for a single "y"

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2. On December 31, Juan Carlos made a $ 7,000 deposit in an account that pays 2.975% interest compounded semi-annually. How much
inna [77]

Answer:$ 7425.89

Step-by-step explanation:

Formula to find the compound amount ( compounded semiannually) :-

A=P(1+\dfrac{r}{2})^{2n} , where P is the principal amount, r is rate of interest ( in decimal), and n is time in years.

Given : P= $7000

r=2.975%=0.02975

Time : n= 2

Then, The amount in account after 2 years:-

A=7000(1+\dfrac{0.02975}{2})^{2\times2}\\\\=7425.88565609\approx7425.89

Hence, Amount in account after 2 years = $ 7425.89

6 0
4 years ago
Mr. and Mrs. Jones live in a neighborhood where the mean family income is $45,000 with a standard deviation of $9,000. Mr. and M
hichkok12 [17]

Answer:

Jones(20%), Smiths(30%)

Step-by-step explanation:

The relative dispersion of a data set is the ratio of its standard deviation to its arithmetic mean.

Mr. and Mrs. Jones' neighborhood mean family income is $45,000 with a standard deviation of $9,000.

Their Relative Dispersion is given as:

Standard Deviation: Mean

9000:45000

1:5

Expressed as a Percentage: (1/5)x100=20%

The Relative Dispersion of the family incomes in Mr. and Mrs. Jones' neighborhood is 20%

Mr. and Mrs. Smith's neighborhood mean family income is $100,000 and the standard deviation is $30,000.

Their Relative Dispersion is given as:

Standard Deviation: Mean

30000:100000

3:10

Expressed as a Percentage: (3/10)x100=30%

The Relative Dispersion of the family incomes in Mr. and Mrs. Smith's neighborhood is 30%

3 0
4 years ago
173 299 181 103 540 81 270 360
Romashka-Z-Leto [24]

Answer:

250.9

Step-by-step explanation:

1) Add all the numbers = 2007

2) Divide by the number of integers present = 2007/8

3) Round to the nearest tenth = 2007/8 = 250.875 = 250.9

6 0
3 years ago
Name the intersection of planes ABFE and BFCD.
Mkey [24]

Two planes intersect in a line that contain all common points of these two planes.

1. Plane named ABFE contains points A, B, F and E.

2. Plane named BFCD contains points B, F, C and D.

As you can see points B and F are common points for these two planes, then the line of intersection is BF and its notation is \overleftrightarrow{BF}.

Note that notation \overline{BF} stays for segments and notation \overrightarrow{BF} stays for rays.

Answer: correct choice is A.

6 0
3 years ago
What’s the answer to y/11+2=-10
mina [271]

Answer:

132

Step-by-step explanation:

(y/11+2=-10)*11

Y+22=-110

Y=132

3 0
4 years ago
Read 2 more answers
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