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3 years ago

Please help!! I need the answer and the explanation on how to do this

Mathematics

1 answer:

strojnjashka [21]3 years ago

7 0

Answer:

the first one

Step-by-step explanation:

y=3x+2

2x+y=-4

becomes

3x+2=y

2x+4=-y

add them

5x+6=0

5x=-6

x=-5/6

take x and replace it for one equation

y=-8/5

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cynthia invests some money in a bank which pays 5% compound interest per year. She wants it to be worth over £8000 at the end of

exis [7]

Answer:

The smallest amount is $\£6,911$

Step-by-step explanation:

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

$t=3\ years\\ A=\£8,000\\ r=5\%=5/100=0.05\\n=1$

substitute in the formula above

$8,000=P(1+\frac{0.05}{1})^{1*3}$

solve for P

$8,000=P(1.05)^{3}$

$P=8,000/(1.05)^{3}$

$P=\£6,910.70$

Round to the nearest pound she can invest

The smallest amount is $\£6,911$

6 0

3 years ago

Imagine that you need to compute e^0.4 but you have no calculator or other aid to enable you to compute it exactly, only paper a

labwork [276]

Answer:

0.0032

Step-by-step explanation:

We need to compute $e^{0.4}$ by the help of third-degree Taylor polynomial that is expanded around at x = 0.

Given :

$e^{0.4}$ < e < 3

Therefore, the Taylor's Error Bound formula is given by :

$|\text{Error}| \leq \frac{M}{(N+1)!} |x-a|^{N+1}$ , where $M=|F^{N+1}(x)|$

$\leq \frac{3}{(3+1)!} |-0.4|^4$

$\leq \frac{3}{24} \times (0.4)^4$

$\leq 0.0032$

Therefore, |Error| ≤ 0.0032

4 0

3 years ago

What is the ratio for sin B?

Y_Kistochka [10]

Answer: 22.6°

Approximately: 23°

Step-by-step explanation:

Sin B = Opp/Hyp

Sin B = 5/13

Sin B = 0.3846

Inverse of Sin B

B = 22.6°

Approximately: 23°

3 0

3 years ago

The temperature in Berlin is -7 °C and the temperature in Istanbul is -3 °C.

Orlov [11]

Answer:

(a) is 4*C and (B) is 16*C

5 0

2 years ago

I need to know how to make it in its simplest form

Mrrafil [7]

Multiply denominator by whole number then add that number to the nominator. Which would be 5 times 1 plus 3. SO 5+3 IS 8 and you keep the denominator so the first one is 8/5

6 0

3 years ago