Isaac invested $1,800 in an account paying an interest rate of 4.7% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 15 years?

Answers

Answer 1

Answer:

First, convert R as a percent to r as a decimal

r = R/100

r = 4.7/100

r = 0.047 rate per year,

Then solve for A,

              [tex]A = P\cdot e^{rt}\\\\A= 1800 \cdot (2.71828)^{(.047)(15)}, \ where \ e = 2.71828\\A = 3642.92[/tex]  

The amount he receives after 15years $3,642.92


Related Questions

will mark brainliest
Consider the sequence 3/4, 4/5, 5/6, 6/7...

Which statement describes the sequence?
The sequence diverges.
The sequence converges to 1.
The sequence converges to ∞.
The sequence converges to –∞.

Answers

Answer:

Step-by-step explanation:

Notice that each new term is closer to +1 than was the previous term.  We can conclude tat the sequence converges to 1.

a. 96°
b. 132°
c. 137°
d. 89°

Answers

Answer:

c. 137°

Step-by-step explanation:

16. The list below shows the different choices of pizza at
the local pizza shop:
.
.
pepperoni: 11
supreme: 7
cheese: 6
Hawaiian: 3
Based on these results, if 189 pizzas were sold, then how
many could be expected to be cheese?

Answers

Answer:

162

Step-by-step explanation:

189-11=178

178-7=171

171-6=165

165-3=162

In a sale the original prices are reduced by 20%.
Calculate the original price of a truck that has a sale price of $14400.​

Answers

Answer:

17260

Step-by-step explanation:

multiply 14400 by 20%

After that add 14400 and 2880together

and you got the answer

Answer:

The original price would be $17,280

Step-by-step explanation:

14,400× 0.2= 2,880

14,400+ 2,880= 17,280

B is the midpoint of AC. if AB = x+5 and BC = 2x-11, find the measure of AB

Answers

Answer:

2 is the answer

Step-by-step explanation:

Answer:

AB = 21

Step-by-step explanation:

Since B is the midpoint of AC , then

BC = AB

2x - 11 = x + 5 ( subtract x from both sides )

x - 11 = 5 ( add 11 to both sides )

x = 16

Then

AB = x + 5 = 16 + 5 = 21

What is the quotient?

Answers

The answer is 3 1/(t + 4)^2

what is the ratio of 150 and 175

Answers

answer 6:7

explanation:

I need the answers plss

Answers

Answer:

a) adjacent angles, complementary angles

b) vertical angles, congruent angles

c) supplementary angles, adjacent angles

d) supplementary angles, adjacent angles

Step-by-step explanation:

Adjacent angles are angles that share a common vertex, ( usually angles that are right next to each other )

Complementary angles are angles that form a 90 degree angle  (  right angle )

Supplementary angles are angles that form a straight line

Vertical angles are angles that are vertically aligned with each other ( vertical angles are congruent )

If you place a 32-foot ladder against the top of a building and the bottom of the ladder is 24 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot.

Answers

Answer: 21.2

Step-by-step explanation:

Answer: 22.2

Step-by-step explanation: the other person miss typed

Pls answer answer pls

Answers

Answer:

48 :)

Step-by-step explanation:

120 divided by 10 = 12

12 x 4 = 48

Answer:

yo momma

Step-by-step explanation:

ha

Question 8
Over the last 2.5 years, the water level in a lake has changed by -0.3 feet per year. Scientists predict that the
water level will continue to go down for the next 5 years at a rate of 0.4 feet per year. What rational number
represents the overall change of the water level after 7.5 years?
А
-2.75 feet
B
0.1 foot
..ll Ezekiel Porter
С
-0.7 foot
D
2.75 feet
©2021 Illuminate Education Inc.

Answers

Answer:

b answer is correct answer

Jamal has a bag with 5 orange, 4 blue and 3 green marbles. He pulls out one marble without looking, puts it back in the bag and then pulls out another marble. What is the probability that he pulled out an orange marble followed by a green one? Express your answer as a fraction in lowest terms.

Answers

Answer:

Step-by-step explanation:

the whole bag is made of 5 orange +4blue+3 green= 12 marbles

P of orange than green = P orange * P green = 5/12 * 3/12 = 15/144 = 5/48

you multiply when the events depend on each other to happen, so for the orange and then green to happen you need the orange and also the green

PLZZ HELP, ILL GIVE BRAINLIEST AND PLEASE DONT PUT A LINK

Answers

Answer:

i think it is b but not sure

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

she still needs at least 20 or more

To the nearest mile, what is the total distance that he ran?
6 miles
8 miles
O 11 miles
25 miles

Answers

Answer:

where's the picture. to the nearest mile...

Step-by-step explanation:

;-;

How many 1/2 inch cubes can fit in a rectangular prisim with length of 2 height of 3/2 and width of 1.

Answers

Answer:

[tex]X=6[/tex]

Step-by-step explanation:

From the question we are told that

Length [tex]l=2[/tex]

Height [tex]h=3/2[/tex]

Width [tex]w=1[/tex]

Generally the equation for Volume of the Rectangular prism is mathematically given by

 [tex]v=l*h*w[/tex]

 [tex]v=2*\frac{3}{2}*1[/tex]

 [tex]v=3m^3[/tex]

Therefore the number of half 1/2 inch cube X in v is

 [tex]X=\frac{v}{1/2}[/tex]

 [tex]X=6[/tex]

A, B & C lie on a straight line.
D, C & E lie on a different straight line.
Angle
y
= 96° and angle
z
= 52°.
Work out
x

Answers

Answer:

x = 136°

Step-by-step explanation:

We can use a theorem to help us.

Theorem:

The measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.

For exterior angle x, the remote interior angles are z and <CBD.

From the theorem, we get this equation.

x = z + m<CBD

We know z = 52°.

We need to find m<CBD.

Angles CBD and y are a linear pair. They are supplementary, so the sum of their measures is 180°. We are given y = 96°.

m<CBD + y = 180°

m<CBD + 96° = 180°

m<CBD = 84°

x = z + m<CBD

x = 52° + 84°

x = 136°

Answer:

x = 136°

Step-by-step explanation:

∠ABD = y = 96°, ∠ABD + ∠DBC must be equal to 180° because they form a straight angle.

[tex]y + B = 180\\96 + B = 180\\B = 180 - 96 = 84[/tex]

∠BDC = z = 52° and ∠DBC = B = 84.

Angles ∠BDC, ∠DBC, and ∠BCD must have a sum of 180° because the sum of the interior angles in a triangle is 180°.

[tex]180=(180 - y) + 52 + C\\180=(180 - 96) + 52 + C\\180 - (52 + 84) = C\\C = 44[/tex]

The interior angle at C is 44. Line DCE forms a straight line, therefore having an angle of 180°. To find x, the sum of x and interior angle C is 180°.

[tex]180 = C + x\\180 = 44 + x\\x = 180-44\\x = 136\\[/tex]

Angle ∠BCE = x = 136.

Jamie ran the first 2000 meters in 6 minutes. At that rate, how long would it take Jaime to run 5000 meters?

Answers

Answer:

15 minutes

Step-by-step explanation:

To figure this out, you can create a ratio. If we say the first 2000 miles is the 1 in the ratio, the ratio would be 1 : 2.5. Since it took 6 minutes for the first 2000, you have to multiply 6 by 2.5 to get your answer of 15 minutes.

what is the slope of all of these ​

Answers

Answer: i caint see well but this is waht i got for the slope

a: 1/5

b: 3/3

c: 3/1

D: 3/7

e: i caint see it well

Step-by-step explanation: to find slope you coutn the rise and then thr run and you put the rise first and then the run at the bottom rise/run

find the area of the triangle

Answers

Area should be 80
0.5x20x8

hello please help i’ll give brainliest

Answers

Answer:

the bin 60-69 contain the most data values

Answer:

third option is the right one

Step-by-step explanation:

find the equation of a line through (3,5) that is parallel to y = 4x - 8

Answers

That’s what I got above is correct

Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. 20 10. 5

Answers

Given:

Consider the given terms of the sequence are:

20, 10, 5, ...

To find:

The type of sequence (arithmetic or geometric) and the common difference / ratio in simplest form.

Solution:

We have,

20, 10, 5, ...

Difference between consecutive terms are:

[tex]10-20=-10[/tex]

[tex]5-10=-5[/tex]

Since [tex]-10\neq -5[/tex], therefore the given sequence has no common difference, it means the given sequence is not arithmetic.

Ratio between consecutive terms are:

[tex]\dfrac{10}{20}=\dfrac{1}{2}[/tex]

[tex]\dfrac{5}{10}=\dfrac{1}{2}[/tex]

The given sequence has a common ratio [tex]\dfrac{1}{2}[/tex], it means the given sequence is a geometric sequence.

Therefore, the given sequence is a geometric sequence with common ratio [tex]\dfrac{1}{2}[/tex] it is also written as 0.5.

which statement is true

Answers

C is the true statement :)

NEED HELP ASAP 50 POINTS 20 MINS LEFT

Answers

Answer:

look at the picture I have sent

Hans Klobber sells vacuum cleaners. He gets to keep
one eighth of his sales as a commission. How much
must he sell in order to earn $1000?

Answers

Answer:

$8000

Step-by-step explanation:

(1/8)x = 1000

multiply both sides by 8

x = 8000

What is an equation of the line that passes through the points (0, -3)(0,−3) and (-5, 3)(−5,3)?

Answers

Answer:

y = 6/5 x -3

Step-by-step explanation:

Standard equation of a line is expressed as;

y = mx+b

Slope m = y2-y1/x2-x1

Given the coordinates  (0, -3)and (-5, 3)

Slope m = 3-(-3)/-5-0

Slope m = 6/5

Since the line cuts the y axis at y = -3, hence b = -3

GEt the required equation;

Recall that y = mx+b

y = 6/5 x + (-3)

y = 6/5 x -3

This gives the required equation

Answer: −6/5x-3

Step-by-step explanation: DeltaMath

Select the correct answer.
Which equation is equivalent to the formula below?
y = a (x -h )2 + k

Answers

the answer is c sorry if i am wrong

!!HELP PLEASE NO LINKS!!Select the graph of y = 2 cos (4x) +1

Answers

I think the answer is A

To solve this problem, we simply need to plot the cosine graph.

Graph of Cosine

The graph of cosine can easily be plotted and we can compare both together.

Kindly check the attached image and we can easily see the graph of

[tex]y = 2cos(4x) + 1[/tex]

is option A.

Comparing the asymptotes together, it reveals more information on that.

Learn more on graph of cosine here;

https://brainly.com/question/20700450

#SPJ2

How would you find the area of this parallelogram? Describe your strategy.

Answers

Answer:

To find the area of a parallelogram, multiply the base by the height.

The formula is: A = B x H where B is the base, H is the height.

Step-by-step explanation:

can yall help me plz
20 pt

Answers

Answer:

t=0.45n

Step-by-step explanation:

1.8/4=4.5

6.75/4=4.5

t=0.45n

If this helps please mark as brainliest

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