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3 years ago

ANSWER QUICK (30 POINTS) MUST BE RIGHT

Mathematics

2 answers:

AlekseyPX3 years ago

5 0

Answer:

1. y=-3x-2 so A) -3

Step-by-step explanation:

4vir4ik [10]3 years ago

3 0

Answer : The correct option is, (A) -3

Step-by-step explanation :

The general form for the formation of a linear equation is:

$(y-y_1)=m\times (x-x_1)$

where,

x and y are the coordinates of x-axis and y-axis respectively.

m is slope of line.

Now we have to calculate the slope of line.

Formula used :

$m=\frac{(y_2-y_1)}{(x_2-x_1)}$

Here,

$(x_1,y_1)=(-2,4)$ and $(x_2,y_2)=(0,-2)$

$m=\frac{(-2-4)}{(0-(-2))}$

$m=\frac{-6}{2}$

m = -3

Therefore, the slope of the line is, -3

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Suppose that $2000 is placed in a savings account at an annual rate of 4.6%, compounded quarterly. Assuming that no withdrawals

LenaWriter [7]

Answer:

It will take 35.46 quarters for the account to grow to $3000.

Step-by-step explanation:

Since the annual rate is compounded quarterly, this can be calculated using the formula for calculating the future value as follows:

FV = PV * (1 + r)^n ............................ (1)

Where;

FV = future value or the amount the deposit expected to grow to = $3,000

PV = Present value or the amount place in the savings = $2,000

r = Quarterly rate = Annual rate / 4 = 4.6% / 4 = 0.046 / 4 = 0.0115

n = number of quarters it will take for the loan to grow to $3000 = ?

Substituting the values into equation (1) and solve for n, we have:

$3,000 = $2,000 * (1 + 0.0115)^n

$3,000 / $2,000 = (1.0115)^n

1.50 = (1.0115)^n

Loglinearise both sides, we have:

log(1.50) = n log(1.0115)

0.176091259055681 = n * 0.00496588710682352

n = 0.176091259055681 / 0.00496588710682352

n = 35.4601816891322

Rounding to the nearest hundredth, which also implies to rounding to 2 decimal places, we have:

n = 35.46

Since the the annual rate is compounded quarterly, it will therefore take 35.46 quarters for the account to grow to $3000.

3 0

2 years ago

*URGENT ALGEBRA 2* Anyone know these answers? Will award brainliest.

stiv31 [10]

Correct Answer:
Second option

Solution:
The given sequence is:

2.2, 6.6, 11, ...

If we observe the sequence it is an Arithmetic Sequence as the difference between two consecutive terms is the same.

6.6 - 2.2 = 4.4
11 - 6.6 = 4.4

First we find the general term for this sequence.

$a(n)= a_{1}+(n-1)d$

$a_{1}=$ first term = 2.2
d = 4.4

So,

$a(n) = 2.2 +(n-1)*4.4 \\ \\ 
a(n) = 2.2 + 4.4n - 4.4 \\ \\ 
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This general term will be placed inside the summation sign with limits from 1 to 5 to give the sum of first 5 terms of the given sequence. So the correct answer is Second Option

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