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3 years ago

QUESTION

Mathematics

1 answer:

yanalaym [24]3 years ago

7 0

Answer:

$97,958.42

Step-by-step explanation:

To solve this problem we can use the compound interest formula which is shown below:

$A=P(1+r )^{t}$

P = initial balance

r = interest rate

t = time

First change 6.5% to its decimal form:

6.5% -> $\frac{6.5}{100}$ -> 0.065

Next plug in the values:

$A=49,000(1+.065)^{11}$

$A=97,958.42$

They have to pay back $97,958.42

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Help with this question, please!

uranmaximum [27]

Answer:

52 ft

Step-by-step explanation:

For each chord, the product of segment lengths is a constant. We can find that constant as the product of the segment lengths of the bisected chord:

(24 ft)·(24 ft) = 576 ft^2

Then the missing segment length (DX) of the diameter chord is ...

DX·(36 ft) = 576 ft^2

DX = (576 ft^2)/(36 ft) = 16 ft

So, the total length of the diameter chord is ...

DX +XL = 16 ft + 36 ft

DL = 52 ft

_____

We know DL is a diameter because the perpendicular bisector of any chord intersects the center of the circle.

5 0

3 years ago

sue makes 2% commission sales up to $5000. She makes 7.5% commission on sales over $5000. If Sue sold $15000 worth of merchandis

ikadub [295]

Answer:

$1125

Step-by-step explanation:

Since $15,000 is over $5000 the commission is 7.5%

Next you turn the percent into a decimal:

0.075

Now multiply $15,000 by 0.075

Answer = $1125

3 0

2 years ago

A bank advertises that it compounds money quarterly and that it will take Double your money in 10 years. what is the interest-ra

S_A_V [24]

The interest rate is 6.992%, if a bank advertises that it compounds money quarterly and that it will take Double your money in 10 years.

Step-by-step explanation:

The given is,

Compounds money quarterly

Double your money in 10 years

Step:1

Formula to calculate future investment with compounded quarterly,

$A =P(1+\frac{r}{n} )^{nt}$ ...............................(1)

Where, A - Future amount

P - Initial investment\

r - Rate of interest

n - No. of compounding in a year

t - No. of years

Step:2

Let, P = X

A = 2X ( Double your money )

From given, n - 4 ( for compounding quarterly )

t - 10 years

From equation (1)

$2X =X(1+\frac{r}{4} )^{(4)(10)}$

$\frac{2X}{X} =(1+\frac{r}{4} )^{(4)(10)}$

$2 =(1+\frac{r}{4} )^{40}$

Take root $40^{th}$ root on both side,

$\sqrt[40]{2} = (1+\frac{r}{4} )$

$1.017479692 = (\frac{4+r}{4} )$

$(1.017479692)(4) = (r+4)$

$4.06992=(r+4)$

$r = 4.06992 -4$

$r =( 0.06992)(100)$

r = 6.992 %

Result:

The interest rate is 6.992%, if a bank advertises that it compounds money quarterly and that it will take Double your money in 10 years.

3 0

3 years ago

ZX bisects ∠WZY. If the measure of ∠YXZ is (6m – 12)°, what is the value of m?

krok68 [10]

Answer:

The correct answer is option B. 17

Step-by-step explanation:

It is given that, ZX bisects ∠WZY. If the measure of ∠YXZ is (6m – 12)°

To find the value of m

From the figure we can see that, triangle WYZ is an isosceles triangle.

ZW = ZY

Then <YXZ = <WXZ = 90°

It is given ∠YXZ = (6m – 12)°

(6m – 12)° = 90°

6m = 90 + 12 = 102

m = 102/6 = 17

Therefore the value of m = 17

The correct answer is option B. 17

8 0

3 years ago

Read 2 more answers

Can Sombody help me fast will mark brainliest

densk [106]

Answer:

2950

Step-by-step explanation:

3 0

3 years ago