Can some one help???

F $1,000 is deposited in a certain bank account and remains in the account along with any accumulated interest, the dollar amoun

Whitepunk [10]

Answer:

(1) The annual interest rate is 10%, that is greater than 8%

(2) The annual interest is bigger than 22.47% and that is greater than 8%

Step-by-step explanation:

We have the equation:

$I=1,000((1+\frac{r}{100} )^{n} -1)$

Where I is the earns in interest, n is the number of years and r is the annual interest rate.

For the first case, we can replace I by $210 and n by 2 as:

$210=1,000((1+\frac{r}{100} )^{2} -1)$

Solving for r, we get:

$\frac{210}{1,000} = (1+\frac{r}{100})^{2} -1$

$0.21 +1 = (1+\frac{r}{100})^{2}$

$1.21 = (1+\frac{r}{100})^{2}$

$\sqrt{1.21} = 1 + \frac{r}{100}$

$\sqrt{1.21} - 1 = \frac{r}{100}$

$(\sqrt{1.21} - 1)100=r$

$10=r$

So, for the first case, the interest rate paid by the bank is 10% and it is greater than 8%

For the second case, we need to take the equation and solve for r as:

$(1+\frac{r}{100} )^{2} >1.5$

$1+\frac{r}{100} > \sqrt{1.5}$

$\frac{r}{100} > \sqrt{1.5}-1$

$r > (\sqrt{1.5}-1)*100$

$r > 22.47$

So, for the second case the rate need to be bigger than 22.47% and that is bigger than 8%

5 0

3 years ago

Which of the following is a linear polynomial? <br>(I) 16, (ii)√2x-9 (iii) 4 (iv) 5+√2

aleksklad [387]

Answer: Listen maybe?

Step-by-step explanation:

3 0

3 years ago

A triangle has a perimeter of 91 cm. If the three sides of the triangle are n,4n - 2 and 5n - 7 what is the length of each side

sdas [7]

Answer:

10,38,43

Step-by-step explanation:

n+4n-2+5n-7=91

10n=91+2+7

10n=100

n=10

4(10)-2=38

5(10)-7=43

if anything is unclear, ask freely.

5 0

3 years ago

Please help me with this question, image attached.

goldfiish [28.3K]

You need to 8 + 4 = 12 and take the half of 12 and start at -4 and count up 6

8 0

3 years ago

NEED ANSWER ASAP- MARK AS BRANLIEST

azamat

Answer:

x = 1 +√5

Step-by-step explanation:

There are different formulas for the area of a triangle available, depending on the given information.

<h3>Formulas</h3>

When two sides and the angle between them are given, the relevant area formula is ...

Area = 1/2(ab)sin(C)

When the base and height of a triangle are given, the relevant area formula is ...

Area = 1/2bh

<h3>Equal Areas</h3>

The problem statement tells us the two triangles shown have equal areas. That means the two formulas will give the same result.

Area from angle = Area from base/height

1/2(x·x)sin(30°) = 1/2(x-2)(x+1)

x² = 2(x² -x -2) . . . . . . . . . . . use sin(30°) = 1/2, multiply by 4

x² -2x -4 = 0 . . . . . . . . subtract x², eliminate parentheses

(x -1)² = 5 . . . . . . . . . add 4+1 to complete the square

<h3>Value of x</h3>

x = 1 ± √5 . . . . . . take the square root, add 1

The value of x must be greater than 2 in order for the triangle side lengths to be positive. (x-2 > 0) This means x = 1-√5 is an extraneous solution.

The value of x is 1 +√5.

5 0

3 years ago