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jeka94
1 year ago
9

-Find the y-intercept of the line with the equation 2x+y=5.

Mathematics
1 answer:
AlekseyPX1 year ago
8 0

Answer:

E.  5

Step-by-step explanation:

Let's rewrite the equation in the form of y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).

2x + y = 5

y = -2x+5

M, the slope, is -2

<u>5, b, is the y-intercept</u>

See attached graph.

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What number needs to be added to 5 and 3 so that the ratio of the first number to the second
Mashcka [7]

Answer:

3

Step-by-step explanation:

Choose a variable to represent the number to be added to 5 and 3.

\frac{5+x}{3+x}=\frac{4}{3}

"Cross-multiply."

3(5+x)=4(3+x)\\\\15+3x=12+4x\\\\15=12+x\\\\3=x

Check:  The ratio of 5+3 to 3 + 3 is 8:6, equal to the ratio 4:3.

5 0
2 years ago
A bank manager wants to encourage new customers to open accounts with principals of at least $3,000. He decides to make a poster
ankoles [38]

Assuming that the 4.8% interest rate is an annual interest rate, then, after one year, with a principal of $3,000 we would be able to win 4.8% of $3000:

3000\times\frac{4.8}{100}=144

Divide 144 over 12 to find the monthly earnings:

\frac{144}{12}=12

Therefore, with a principal of $3,000 we would be earning $12 interest in 1 month.

For the earnings on the first month to be equal to $10, then you would have to win $120 annually, and $120 must be 4.8% of the principal. To find which quantity satisfies that 4.8% of it is equal to $120, divide 120 over 4.8%:

\frac{120}{4.8\text{ \%}}=\frac{120}{(4.8/100)}=\frac{100}{4.8}\times120=2500

Therefore, the principal must be equal to $2500 for you to win $10 on the first month, and it would indeed be correct to say that if you open an account with $3000 you will earn at least $10 interest in 1 month.

7 0
1 year ago
Find sin(a) <br> (Picture)
svet-max [94.6K]

Answer:

Sine of A should be 5/13

Step-by-step explanation:

Hope this Helped

3 0
2 years ago
The MagicSoft software company has a proposal to the city council of Alva, Florida, to relocate there. The proposal claims that
EleoNora [17]

Answer:

The correct estimate of the amount generated to the local economy is $3,333,333.\bar3

Step-by-step explanation:

The amount the expected to be generated for the local economy = $3.3 million

The amount of salaries that will generate $3.3 million = $1 million

The percentage of the amount of the salaries and the subsequent earnings expected to be spent on the local community = 70%

Therefore, we have;

For a first amount of 1 million into the economy, the next amount to into the economy is 70/100 × 1 million = 700,000, then we have 70/100 × 700,000 and so on, which is a geometric sequence, with first term, a = $1 million, the common ratio, r = 70/100 = 0.7, the number of terms = Infinity = ∞

The sum of a geometric sequence to infinity is given as follows;

\sum\limits_{k = 0}^{\infty }a \cdot r^k = S_{\infty} = \dfrac{a}{1 - r}

Substituting the known values gives;

\sum\limits_{k = 0}^{\infty }1,000,000 \times 0.7 ^k =  \dfrac{1,000,000}{1 - 0.7}= 3,333,333.\bar 3

Therefore, the correct estimate of the amount generated to the local economy by the $1 million salaries that will be paid = $3,333,333.\bar3.

5 0
2 years ago
-3 N is an interger. <br> Write down the possible values of N.
PolarNik [594]

Answer:

Step-by-step explanation:

N is all integers except 0.

3 0
3 years ago
Read 2 more answers
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