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GuDViN [60]
3 years ago
11

I need help with this

Mathematics
1 answer:
miv72 [106K]3 years ago
8 0

Answer:

y = -x + 3

Step-by-step explanation:

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Find out how long it takes a ​$ investment to double if it is invested at compounded . Round to the nearest tenth of a year. Use
BabaBlast [244]

Answer:

(A) 8.8 years

Step-by-step explanation:

Given that the principal amount = $ 3100

Rate of compound interest = 8% compounded semiannually.

The given formula is

A=P\left(1+\frac{r}{n}\right)^{nt}

Where A is the final amount, P is the principal amount, r is the rate of compound interest, t is the time and n is the number of times per year the interest is compounded.

From the given condition,

P=$3100

r= 8%=0.08 compounded semiannually

n=2

A=2 x 3100=$ 6200.

Put all these in the given formula to get the required time, we have

6200=3100\left(1+\frac{0.08}{2}\right)^{2t}

\Rightarrow \left(1+0.04\right)^{2t}=6200/3100

\Rightarrow 1.04^{2t}=2\\\\\Rightarrow 2t\log_{10}(1.04)=\log_{10}(2)\\ \\\Rightarrow 2t =\frac{\log_{10}(2)}{\log_{10}(1.04)}\\\\\Rightarrow 2t =17.673\\\\\Rightarrow t = 17.673/2=8.8365\\

On rounding to the nearest tenth of a year, t=8.8 years.

So, the invested amount will be double in  8.8 years.

Hence, option (A) is correct.

7 0
2 years ago
Marcie solved the following inequality, and her work is shown below:
Cerrena [4.2K]

When dividing an inequality with a negative value , the inequality sign changes direction.

The original Less than or equal to sign should heave been changed to greater than or equal to.

The answer is: When dividing by −8, she did not change the direction of the sign.

6 0
3 years ago
Jolene earned a 75% on her last quiz. If there were 8 questions, how many did she answer correctly
sveticcg [70]

Answer:

6

Step-by-step explanation:

100% / 8 questions= each question is worth 12.5 points

12.5*6=75

Therefore 6 were answered correctly

3 0
2 years ago
Who’s graph show a proportional relationship in which the value of y is one-half of the value of x
Sunny_sXe [5.5K]

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

so

That means it's the equation of a line passing through the origin.

case a) and case d) are discarded because the line does not pass through the origin

<u>case b) we have</u>

for x=2 y=4

y/x=k-------> 4/2=2------> k=2

y=2x-------> in this case the value of y is two times the value of x

<u>case c) we have</u>

for x=4 y=2

y/x=k-------> 2/4=1/2------> k=(1/2)

y=(1/2)x-------> in this case the value of y is one-half of the value of x

therefore

the solution is the case c) see the attached figure

8 0
3 years ago
the tens digit of a two digit number is twice the units digit. The sum of the digits is twelve. Find the original number.
KatRina [158]
X - tens digit
y - units digit

x=2y\\&#10;x+y=12\\\\&#10;2y+y=12\\&#10;3y=12\\&#10;y=4\\\\&#10;x=2\cdot4\\&#10;x=8\\\\&#10;10\cdot8+4=\boxed{84}&#10;
4 0
3 years ago
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