Michelle deposited $1,600 into an account that is compounded continuously with an annual interest rate of 8%. After t years, there was $3,200 in the account. Based on the given information, if the formula for continuously compounded interest is A = P e r t , where P represents the initial amount of money, r represents the annual interest rate (as a decimal), t represents the number of years, and A represents the amount of money after t years, how many years had the money been in the account? Express your answer as a logarithm.

Answer:

4

Step-by-step explanation:

Delta math

The measure of K to the nearest degree is 4°.

The law of cosines, commonly referred to as the cosine rule or the cosine formula, in trigonometry essentially connects the length of the triangle to the cosines of one of its angles. It claims that we can determine the length of the third side of a triangle if we know the length of the first two sides and the angle between them.

Given ΔJKL,

j = 7.9 inches, k = 2 inches, l = 9.8 inches

to find the measure of angle K,

we can calculate the angle by cosine law,

cosK = (j² + l² - k²)/(2.j.l)

cosK = (7.9² + 9.8²  - 2²)/(2*7.9*9.8)

cosK = 154.45/154.81

K = cos⁻¹(0.99748)

K = 4.067⁰ ≈ 4°

Hence angle K is 4°.

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Answer: x= -2/3y+5/3

Step-by-step explanation:

Let's solve for x.

3x+2y−5=0

Step 1: Add -2y to both sides.

3x+2y−5+−2y=0+−2y

3x−5=−2y

Step 2: Add 5 to both sides.

3x−5+5=−2y+5

3x=−2y+5

Step 3: Divide both sides by 3.

3x/3=-2y+5/3

x= -2/3y+5/3

Answer:

[tex]6[/tex]

12....................may be

Two angles whose sum is 180° are called supplementary angles. The measure of ∠UPS is 151°.

Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two angles are two pairs of supplementary angles. That means, that if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.

Since ∠4 and ∠5 form a line, therefore, the two lines are supplementary to each other. Thus, the sum of the two angles can be written as,

∠4 + ∠5 = 180°

(3x + 7) + (9x - 43) = 180

3x + 7 + 9x - 43 = 180

3x + 9x + 7 - 43 = 180

12x - 36 = 180

12x = 180 + 36

12x = 216

x = 216 / 12

x = 18

Now, the measure of ∠UPT can be written as,

∠UPT = ∠4

∠UPT = 3x + 7

         = 3(18) + 7

         = 54+7

         = 61°

Further, since the ∠UPS is formed of ∠UPT and ∠TPS, therefore, we can write,

∠UPS = ∠UPT + ∠TPS

         = 61° + 90°

         = 151°

Hence, the measure of ∠UPS is 151°.

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Answer:

12.5 mils per hour

Step-by-step explanation:

can I get brainliest

First for the average divide 75 /6 and the answer is ur average

Step-by-step explanation:

it has 4 sides, all of whick are equal. Answer is 4*4, 16.

Answer:

ole la lechuaza acabe chu acabe chu acevhu acehcyla abaten y cierran la puerta

Answer:

i think d

Step-by-step explanation:

Answer:

its d

Step-by-step explanation:

.....................

Answer:

if it is correct put me a crown please please please if u like my answer hhahahahh ehhehegegg hohohohooh thanks for points

Step-by-step explanation:

4 x 1 = 4

Answer:

Step-by-step explanation:

Um

9514 1404 393

Answer:

  17 square units

Step-by-step explanation:

There are several ways you can divide this figure into areas that are easily computed.

One that comes to mind is to consider the triangle that would include the missing area at lower right. That triangle would have a base of 6 and a height of 8, so an area of ...

  A = (1/2)bh

  A = (1/2)(6)(8) = 24 . . . . square units

The part at lower right that is cut out is a sort of reversed L-shape that is 3 squares along the bottom and 4 more up the side, for a total of 7 squares.

Then the area of the shaded part is ...

  A = 24 - 7 = 17 . . . . square units

Answer:

continuous

Step-by-step explanation:

Since the function d=45t can have numbers in between and time is constantly happening, he does not hop, or skip at 1 second, then 5 seconds...he is continuously traveling, so time = 1 sec, 1.1 sec., 1.1000001, 1.000002, etc. time does not stop therefore if you graphed this, you would connect the dots, therefore, it is continuous

Answer:

-2

Step-by-step explanation:

Each term is multiplied by -2 to get the next term

Answer:

Step-by-step explanation:

All even members of the sequence are -

All odd  members of the sequence are +

Ignore that for the moment and let's just find the ratio.

t_n/t_n-1 = - 2

t_2/t_n-1 = -18/9 = - 2

t_3/t_2 = 36/-18 = - 3

Answer:

10/9

Step-by-step explanation:

So first you have to convert 5 to a fraction. 5/1 is equal to 5 so that means that 5/1 can work. 5/1x2/9=10/9 because all you have to do is multiply the numerator with the numerator and the denominator with the denominator.

Hope this helps

Answer:

10/9 (1  1/9

Step-by-step explanation:

That’s the fraction way, so all you simply do is multiply 5 by the numerator (2) then you would put it over the 9, which would make it 10/9. Also if you would like to simplify it but still it be a fraction, it would be 1  1/9.

I hope this helps!

(pwease give brainliest)

Answer:

165

Step-by-step explanation:

In 165 ways i can select 3 books to bring on vacation from a group of 11 books.

A combination is when you choose data from a group without any order or sequence. If the group of data is relatively lesser, you can calculate the number of possible combinations.

According to the question

Select 3 books to bring on vacation from a group of 11 books.

By using combinations formula

[tex]^{n} C _{r}=\frac{n!}{r!(n-r)!}[/tex]

[tex]^{11} C_{3}[/tex] = [tex]\frac{11!}{3!(11-3)!}[/tex]

= [tex]\frac{11.(10)(9)(8!)}{3!.8!}[/tex]

Cancelling out 8! from denominator and numerator

= [tex]\frac{11(10)(9)}{3(2)(1)}[/tex]

= 165

Thus, In 165 ways i can select 3 books to bring on vacation from a group of 11 books.

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Answer:

.

Step-by-step explanation:

Answer:

B. 31r − 71 is the answer!

Answer:

(3,2)

Step-by-step explanation:

Hope it helps you......

Answer:

çoook yardım etmek isterdim ama biz kesirlerde bu konuyu daha işlemedik çok özür dilerim

Step-by-step explanation:

starting salary = $35,000

raise in 1 year = $2500

raise in 7 year = $17,500

salary on 7th year = $35,000 + $17,500

= $52,500

Answer:

5.30

Step-by-step explanation:

11.58 + 3.14 = 14.72

20 - 14.72 = 5.28

nearest dime is 5.30

Answer:

2/3 ..................

Answer:

The correct answer is:

Part A: 6 Seconds

Part B: 3 Seconds

Step-by-step explanation:

The given equation is:

⇒  [tex]h(t) =-16t^2+96t[/tex]

Part A:

When h(t) = 0,

⇒ [tex]-16t^2+96t=0[/tex]

On taking "t" as common, we get

⇒ [tex]t(-16t+96)=0[/tex]

⇒ [tex]-16t+96=0[/tex]

On adding "16t" both sides, we get

⇒ [tex]-16t+96+16t=0+16t[/tex]

⇒                      [tex]96=16t[/tex]

⇒                        [tex]t=\frac{96}{16}[/tex]

⇒                        [tex]t=6 \ Seconds[/tex]

Part B:

When [tex]\frac{dh(t)}{dt} =0[/tex]

⇒ [tex]\frac{d}{dt}(-16t^2+96t)=0[/tex]

⇒          [tex]-32t+96=0[/tex]

On adding "32t" both sides, we get

⇒ [tex]-32t+96+32t=0+32t[/tex]        

⇒                      [tex]96=32t[/tex]

⇒                        [tex]t=\frac{96}{32}[/tex]

⇒                        [tex]t=3 \ Seconds[/tex]

Answer:

wut can u explain it like more plz

Step-by-step explanation:

Answer:

Step-by-step explanation:

312,8/(34/100)

=920,00000

This is the answer

100% = 920

Can i be brainliest have a nice day

The value of x rounded to the nearest whole number is 920.

A percentage is a way to describe a part of a whole such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given that the number 312.8 is 34% of x.

Thus, we can write,

34% of x = 312.8

(34/100) × x = 312.8

Now, Multiply both the sides of the equation by 100,

(34/100) × x × 100 = 312.8 × 100

Now, Divide both the sides of the equation by 34,

[(34/100) × x × 100] ÷ 34 = (312.8 × 100) ÷ 38

x = (312.8 × 100)/34

x = 920

Therefore, the value of x rounded to the nearest whole number is 920.

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15% or 6%

Step-by-step explanation:

it's 15%. its the answer

Answer:26.6 repetetive

Step-by-step explanation:

Answer:

1/75 tons

Step-by-step explanation:

1/15 tons of rock divided to 5 people

Answer:

-4

Step-by-step explanation:

If a = -4 then you can eliminate hte -4x and 4x by adding them, you get 0x, so you eliminate the x variable