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3 years ago

The missing value is x than tan 13 / 24

Mathematics

2 answers:

Lostsunrise [7]3 years ago

7 0

according to question:-

Tan(26.6) = 0.5

8/16 = 0.5

Ivenika [448]3 years ago

3 0

Answer:

26.6

Step-by-step explanation:

Tan(26.6) = 0.5

8/16 = 0.5

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A train travels 200 miles in 4 hours at a constant rate. What is the constant rate of change for the train in miles per hour? A.

Sav [38]

Answer:50 miles

Step-by-step explanation:

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3 years ago

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Lynne invested 35,000 into an account earning 4% annual interest compounded quarterly she makes no other deposits into the accou

storchak [24]

Hello!

Lynne invested 35,000 into an account earning 4% annual interest compounded quarterly she makes no other deposits into the account and does not withdraw any money. What is the balance of Lynne's account in 5years

Data:

P = 35000

r = 4% = 0,04

n = 4

t = 5

P' = ?

I = ?

We have the following compound interest formula

$P' = P*(1+\dfrac{r}{n})^{nt}$

$P' = 35000*(1+\frac{0,04}{4})^{4*5}$

$P' = 35000*(1+0,01)^{20}$

$P' = 35000*(1,01)^{20}$

$P' = 35000*(1.22019003995...)$

$P' \approx 42,706.66$

So the new principal P' after 5 years is approximately $42,706.66.

Subtracting the original principal from this amount gives the amount of interest received:

$P' - P = I$

$42,706.66 - 35000 = \boxed{\boxed{7,706.66}}\end{array}}\qquad\checkmark$

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2 years ago

A credit card company charges 18.6% percent per year interest. Compute the effective annual rate if they compound, (a) annualy,

Darina [25.2K]

Answer:

a) Effective annual rate: 18.6%

b) Effective annual rate: 20.27%

c) Effective annual rate: 20.43%

d) Effective annual rate: 20.44%

Step-by-step explanation:

The effective annual interest rate, if it is not compounded continuously, is given by the formula

$I=C(1+\frac{r}{n})^{nt}-C$

where

C = Amount of the credit granted

r = nominal interest per year

n = compounding frequency

t = the length of time the interest is applied. In this case, 1 year.

In the special case the interest rate is compounded continuously, the interest is given by

$I=Ce^{rt}-C$

(a) Annually

$I=C(1+\frac{0.186}{1})-C=C(1.186)-C=C(1.186-1)=C(0.186)$

The effective annual rate is 18.6%

(b) Monthly

There are 12 months in a year

$I=C(1+\frac{0.186}{12})^{12}-C=C(1.2027)-C=C(0.2027)$

The effective annual rate is 20.27%

(c) Daily

There are 365 days in a year

$I=C(1+\frac{0.186}{365})^{365}-C=C(1.2043)-C=C(0.2043)$

The effective annual rate is 20.43%

(d) Continuously

$I=Ce^{0.186}-C=C(1.2044)-C=C(0.2044)$

The effective annual rate is 20.44%

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2 years ago

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Charra [1.4K]

Answer:

16. Right isosceles

17. D

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The triangle has a right angle this makes it a right trangle. Also all parallelograms are not squares, all rectangles aren't squares and all parallelograms aren't rhombuses.

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2 years ago

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ΔABC is dilated by a scale factor of 0.25 with the origin as the center of dilation, resulting in the image ΔA′B′C′. If A = (-1,

AfilCa [17]

Answer:

c. d = 5

Step-by-step explanation:

The difference in coordinates B and C is (14, 17) -(2, 1) = (12, 16). When the figure is scaled by 0.25, that difference becomes ...

0.25(12, 16) = (3, 4)

The length of a line segment with those coordinate differences is ...

d = √(3² +4²) = √25 = 5 . . . . matches selection c.

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2 years ago