Sarah is going to invest $280 and leave it in an account for 9 years. Assuming the interest is compounded continuously, what interest rate, to the nearest tenth of a percent, would be required in order for Sarah to end up with $410?

Answer:

(a) Rome= 11 degrees

Munich= 5 degrees

Difference = 11-5 = 6 degrees

(b)

Oslo= 2 degrees

At 6pm= 2+5= 7 degrees

Answer:

Step-by-step explanation:

Answer:

(1) 13.0 years

(2) [tex]y^{3} =[/tex] {-1728, 1728}

Step-by-step explanation:

(1)

Compound annually:

[tex]Pe^{rt}[/tex] = A

(47000)[tex]e^{(0.04)(t)}[/tex] = 79200

[tex]e^{(0.04)(t)}[/tex] = [tex]\frac{79200}{47000}[/tex]

ln([tex]e^{(0.04)(t)}[/tex]) = ln([tex]\frac{79200}{47000}[/tex])

ln and e cancel out.

(0.04)(t) = ln([tex]\frac{79200}{47000}[/tex])

t = [tex]\frac{ln(\frac{79200}{47000})}{0.04}[/tex]

t = 13.0 years

(2)

[tex]x^{2} +y^{2} = 153\\y = -4x[/tex]

Substitute y with -4x.

[tex]x^{2} + (-4x)^{2} = 153[/tex]

Solve for x.

x = {-3, 3}

Plug in x values into any equation to find y.

y = -4(-3) and y = -4(3)

y = {-12, 12}

[tex]y^{3}[/tex] = [tex]-12^{3}[/tex] = -1728

[tex]y^{3}[/tex] = [tex]12^{3}[/tex] = 1728

Answer:

13.3    

Step-by-step explanation:

I got it right  

Answer:

10 h 55 min

Step-by-step explanation:

13 h 10 - 2h = 11 h 10

11 h 10 - 15 min = 10 h 55 min

Answer:

B. Straight angles

Step-by-step explanation:

When combined, they form a straight line. They are also supplementary angles. When added together, they = 180 degrees.

Answer:

C. Alternate interior angles

Step-by-step explanation:

Answer:

-59 + 39i

Step-by-step explanation:

Apply the Distributive Property of Multiplication:

(9)(-6) + (9)(5 i) - 6i - 5 (recall that i^2 = -1)

or:

-54 + 45i - 6i - 5, or

-59 + 39i

Answer:

2.9375 inches or 2 15/16"

Step-by-step explanation:

23 1/2 feet equals 282 inches

(1/8 ÷ 12) = (x ÷ 282)

cross-multiply:

35.25 = 12x

x = 2.9375 or 2 15/16 inches

Answer:

You need 14 19/24 inches of fabric

Step-by-step explanation:

We'll need a common denominator between 2/3, 1/2, and 5/8. 24 is the least (lowest) common denominator.

3 x 8 = 24, so we multiply the numerator and denominator by 8 and  6 2/3 becomes 6 16/24ths

2 x 12 = 24, so we multiply the numerator and denominator by 12, and 4 1/2 becomes 4 12/24

8 x 3 = 24, so we multiply the numerator and denominator by 3, and 3 5/8 becomes 3 15/24.

Now we are adding 6 16/24 + 4 12/24 + 3 15/24

6 16/24 + 4 12/24 + 3 15/24 = 6 + 4 + 3 + 16/24 + 12/24 + 15/24

= 13 + 43/24 = 14 19/24

Please lmk if  you have questions.

1-1/6-1/9=3/18

I hope it's correct:))

Answer:

A

Step-by-step explanation:

Answer:

-16

Step-by-step explanation:

(X + Y)

= (-3 + -5)

= -8

(X - Y)

= (-3 - -5)

= 2

Because  they're still in brackets in this form:

(-8) (2)

You multiply them both and you'll get the answer:

-16

hope this helped!

Answer:

1) Diverges. 2) Converges. 3) Converges. 4) Converges. 5) Diverges. 6) Diverges. 7) Converges. 8) Converges to 2.5. 9) Diverges

Step-by-step explanation:

In order to find the convergence or divergence of a geometric series, we have to focus on the absolute value of its radius

The theorem states that if [tex]|r|<1[/tex] then the series converges to [tex]\frac{a_{1} }{1-r }[/tex]

1) The radius is r = 4 which is greater than one so it Diverges.

2) The radius is [tex]r=\frac{-3}{4}[/tex] and [tex]|r|=\frac{3}{4}[/tex] which is less than 1 so it Converges.

3) The radius is 0.5 which is less than 1 so it Converges.

4) To figure out unknown radius, we divide the 2nd term from the first, in this case we have [tex]\frac{27}{81} =\frac{1}{3}[/tex] which is less than one so it Converges.

5) for this one, since the second term is bigger than the first, if we divide them, the answer would always be bigger than 1 so it Diverges.

The geometric series are given by the formula ∑[tex]C(r)^{n}[/tex] where c is a constant.

6) in this case our [tex]r = \frac{3}{2}[/tex] which is bigger than 1 so it Diverges.

7) [tex]r = \frac{-1}{4}[/tex] and [tex]|r|=\frac{1}{4}[/tex] which is less than one so it Converges.

to find the sum of a convergent geometric series, we use the formula [tex]\frac{a_{1} }{1-r}[/tex]

8) plug in given information

[tex]a_{1} = 3\\r = \frac{-1}{5}\\\\=\frac{3}{1-(-\frac{1}{5}) }\\= \frac{3}{1+\frac{1}{5} }\\= 2.5[/tex]

9) since [tex]r = -3[/tex] and [tex]|r|=3[/tex], r is greater than 1 and it Diverges.

Hopefully the work I did was right. Have a good one!

Answer:25 if your looking for the number of ways to order 5 objects

Step-by-step explanation:

If your looking for the probability of 1 number the ways for it to be arranged l believe It is 5x5 hope this helps

Answer:

i dont know sry need points sry

Step-by-step explanation:

Answer:

V ≈ 62.83

Step-by-step explanation:

Cylinder Formulas in terms of r and h

Calculate the volume of a cylinder:

V = πr2h

Calculate the lateral surface area of a cylinder (just the curved outside):

L = 2πrh

Calculate the top and bottom surface area of a cylinder (2 circles):

T = B = πr2

Total surface area of a closed cylinder is:

A = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)

Solution

V=πr 2h = π · 22 · 5 ≈ 62.83185

Therefore, the volume of the cylinder in the nearest tenths is V ≈ 62.83

Answer: cockme

Step-by-step explanation:

cockme

Answer:

honestly this was the only thing i was ever good at in math.

its kinda fun cuz its like puzzle solving.

Answer:

The ratio represents they are 12 snails for every 19 sea creatures in Joe's tank.

Step-by-step explanation:

In total, there are 19 sea creatures in the tank. And since there are 12 snails in the tank, the ratio represents that there are 12 snails for every 19 sea creatures in Joe's tank.

Please like and mark brainliest!

Hope it helps!

Answer:

33.27

Step-by-step explanation:

27.27 + (4 + 2)

You always perform the parenthesis first.

27.27 + 6

Then you add 6.

33.27

Answer:

a. rational

b. irrational

c. irrational

d. rational

e. rational

f. rational

plz mark me as brainliest

[tex] 1)\displaystyle{} \: \sqrt{4} = \sqrt{2 \times 2} = \sqrt{2} \\ \: \: \: \bold{irrational \: number}[/tex]

[tex]2) \displaystyle{} \: \sqrt{3} = \bold{irrational \: number}[/tex]

[tex] \sqrt{7} \: \: = \bold{irrational \: number}[/tex]

[tex] 3) \: \: \displaystyle \frac{3}{5} \bold{irrational \: number}[/tex]

[tex] \displaystyle \: \frac{3}{5} \: \bold{rational \: number}[/tex]

[tex] \displaystyle{}\frac{1}{4} \bold{rational \: number}[/tex]

[tex] \displaystyle{} \: - 2.57 \: \bold{rational \: number}[/tex]

Note - if digit have root ( radical sign ) so number is irrational but digit have do not radical sign so number is rational.

Answer:

1/20

Step-by-step explanation:

The reciprocal just means that you flip the numerator & denominator. Any whole number always has a denominator of 1, so you just flip it to 1/20. Hope this helps!

In order to find the reciprocal of a number, we should flop it over.

Kindly consider the formula for additional details:-

[tex]\sf{The~reciprocal~of~a~is~\displaystyle\frac{1}{a}}[/tex]

According to the formula, the reciprocal of 20 is:-

[tex]\sf{The~reciprocal~of~20~is~\frac{1}{20}}[/tex]

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

2x 4 =- 8

2 x + 4 = 8 2x+4=8 2x+4=8. Subtract 4 from both sides. Simplify 8 − 4 8-4 8−4 to 4. Divide both sides by 2.

Answer:

Yes, result is significant ; PVALUE < α

Step-by-step explanation:

Given :

x = 536

n = sample size = 1012

Phat = x / n = 536 / 1012 = 0.5296 = 0.53

H0 : P0 = 0.5

H1 : P0 > 0.5

Test statistic :

(Phat - P0) ÷ sqrt[(P0(1 - P0)) / n]

1-P0 = 1 - 0.5 = 0.5

(0.53 - 0.5) ÷ sqrt[(0.5*0.5)/1012]

0.03 ÷ 0.0157173

= 1.9087

Pvalue :

Using the Pvalue from test statistic :

Pvalue = 0.02815

To test if result is significant :

α = 0.05

0.02815 < 0.05

Pvalue < α ; Hence, result is significant at α=0.05; Hence, we reject H0.