Mathematics College

A person invested $230 in an account growing at a rate allowing the money to double
every 7 years. How long, to the nearest tenth of a year would it take for the value of
the account to reach $390?

Answers

Answer 1

It would take 28.6 years for the value of the account to reach $390.

The equation reads A(t) = Ao (2) Where

A(t) = 3902, Ao = 230, and t =?, k = 7 years

Hence, 3902 = 230 × (2)

^t/7

We divide 230 on both sides (3902/230 = 230) (2)

^t/7/230

16.965217391 = (2) (2)

^t/7

Calculate the ln of both sides:

16.965217391 = ln (2)t/7

ln 16.965217391 = t/7 ln (2) (2)

In 16.965217391/ln 2 = t/7

t = 4.0874628413× 7

t = 28.612239889 years

Approximately = 28.6 years

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https://brainly.com/question/23579838

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Related Questions

A store sells hardcover books for $8 and paperback books for $5. You buy 9 books, represented by the equation x+y=9, where x is the number of hardcover books and y is the number of paperback books. The equation 8x+5y=51 represents the total cost. How many of each type of book did you buy?

Answers

Answer:

Step-by-step explanation:

x+y = 9

y = 9-x

8x + 5y = 51

8x + 5(9-x) = 51

8x + 45 - 5x = 51

3x = 6

x = 2

y = 9-x = 7

Two hardcover books and seven paperback books.

Mr. king used 16 gallons of gas in 6 days. Circle any of the following that describes the average amount of gas Mr. King used per day? (Sorry forgot options, also my math teacher gave me a hint about 3 answers)

Answers

16 divided by 6 will give you the average

2.66666 rounded to 2.67 or 2.7

help me solve this please

Answers

Answer:

the answer is 0.7692

Step-by-step explanation:

Find the value of x in the triangle shown below.
5
12
Choose 1 answer:
x = 60
= V119
= 13
= 17

Answers

X will be equal to 13

Ten more than four times a number is equal to the difference between 73 and three times the number. Find the number.

Answers

Answer:

let x be the number then,

according to question ,

10+4x=73-3x

or, 4x+3x=73-10

or, 7x= 63

or, x= 63÷7

or,x=9 ans

hence , the number is 9



In addition to the information given in the drawing, which statement would be sufficient to prove

that STW-XYZ?

Number 5

Answers

Answer:

[tex]SW= 15[/tex] and [tex]TW= 24[/tex]

Step-by-step explanation:

Given

See attachment for the triangles

Required

Which additional statement proves the similarity of both triangles

From the attachment:

[tex]ST = 27\\XY = 9\\YZ = 8\\XZ = 5[/tex]  

The similar sides of both triangles are: ST and XY

So:

[tex]Ratio = ST : XY[/tex]

[tex]Ratio = 27 : 9[/tex]

Divide by 9

[tex]Ratio = 3 : 1[/tex]

Another similar sides are: TW and YZ

So:

[tex]TW : YZ = TW : 8[/tex]

Equate both ratios:

[tex]TW : 8 = 3 : 1[/tex]

Represent as fraction

[tex]\frac{TW }{ 8 }= \frac{3 }{ 1}[/tex]

[tex]\frac{TW }{ 8 }= 3[/tex]

Multiply both sides by 8

[tex]8 * \frac{TW }{ 8 }= 3*8[/tex]

[tex]TW= 3*8[/tex]

[tex]TW= 24[/tex]

Another similar sides are: SW and XZ

So:

[tex]SW:XZ = SW:5[/tex]

Equate both ratios:

[tex]SW:5 = 3:1[/tex]

Represent as fraction

[tex]\frac{SW}{5} = \frac{3}{1}[/tex]

[tex]\frac{SW}{5} = 3[/tex]

Multiply both sides by 5

[tex]5*\frac{SW}{5} = 3*5[/tex]

[tex]SW = 3*5[/tex]

[tex]SW = 15[/tex]

So, the statement that proves the similarity of the triangles is:

[tex]SW= 15[/tex] and [tex]TW= 24[/tex]

Divide 12x^3+15x by 3

Answers

3x times(4x^2+15) I’m pretty sure

Answer:

Try 5x + 36xn

Step-by-step explanation:

Estimate the sum using rounding numbers 67.07+4.86

Answers

Answer:

I estimated the answer would be 72 (actual answer: 71.93)

Step-by-step explanation:

67.07 rounded to the nearest whole number is 67

4.86 rounded to the nearest whole number is 5

67 + 5 = 72

hope this helped!

hello hello I need help asap ​

Answers

13/4 and 3 1/4
Hope this helps

Answer:

im not smart

Step-by-step explanation:

find the 8th term of the geometric sequence 3,9,27

Answers

Answer:

6,561

Step-by-step explanation:

multiply 3 by the last number, like 3*3 is 9 then 9*3 is 27*3 is 81 then 81*3 243 and so until it reaches 8 time

What geometric term describes PQ and RS

Answers

Answer:

perpendicular lines

Step-by-step explanation:

Two lines in a plane are said to be perpendicular if they intersect in such a way that the angles formed between them are right angles. In the adjoining e, lines PQ and RS intersect at 0 such that ∠ROQ = ∠ ROP = ∠POS = ∠QOS = 90°. Therefore, we say that PQ is perpendicular to RS

Please help with this math question

Answers


Domain: {-3}
Range: {8, 7, 6, 5}
This is not a function.

The scale of a map is 1 cm : 21 km. Find the actual distance corresponding to the map distance.
The distance on the map is 2.5 cm.

Answers

Answer:

52.5

Step-by-step explanation:

2.5 x 21 = 52.5

The product of the areas of two rectangular rugs is 140. If each of the dimensions is a prime number, what are the four dimensions?

A. 2,4,5,7
B. 2,2,5,7
C. 2,2,5,5
D. 2,5,7,7

Answers

D..............I think am sorry if am wrong

Answer:

The correct answer is B. 2,2,5,7

Step-by-step explanation:

To answer this just multiply them in the order you see them in so 2*2=4 4*5=20 *7=140

−2.2⋅(−2)÷(−
4
1
​
)⋅5

Answers

Step-by-step explanation:

la respuesta no es correcta porque es falsa

A bag contains 5 apples and 3 oranges. If you select 2 pieces of fruit without looking, how many ways can you get 2 apples?

Answers

Answer:

you can feel a stem

Step-by-step explanation:

im sorry i dont know

Suppose a university is divided into three campuses: the Main campus, the Downtown campus, and the Bay Area campus. The Main campus has 60% of the university's students, the Downtown campus has 25%, and the Bay Area has the rest. At the Main campus, 12% of the students are statistics majors. At the Downtown campus, 4% of the students are statistics majors. Finally, at the Bay Area campus, 1% of the students are statistics majors.

Required:
a. What proportion of students at the university are statistics majors?
b. Of all statistics majors at the university, what proportion are at the Main campus?

Answers

Answer:

a) 0.0835 = 8.35% of students at the university are statistics majors

b) 0.8623 = 86.23% are at the Main campus

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

This is used for item b.

a. What proportion of students at the university are statistics majors?

12% of 60%(At the main campus).

4% of 25%(Downtown campus).

The rest is 100 - 60 + 25) = 15%.

1% of 15%(Bay Area Campus). Si

[tex]p = 0.12*0.6 + 0.04*0.25 + 0.01*0.15 = 0.0835[/tex]

0.0835 = 8.35% of students at the university are statistics majors.

b. Of all statistics majors at the university, what proportion are at the Main campus?

Using conditional probability to find the percentage.

Event A: Statistics majors, so [tex]P(A) = 0.0835[/tex]

Event B: Main Campus

Intersection of A and B:

12% of 60%. So

[tex]P(A \cap B) = 0.12*0.6 = 0.072[/tex]

Percentage:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.072}{0.0835} = 0.8623[/tex]

0.8623 = 86.23% are at the Main campus

Find the vertex of this quadratic

Answers

Answer:

The vertex is (2,0)

0.51 x 40 = (0.5 + 0.01) x 40 =

Answers

Answer:

hello! :) have a good day!

20.4

Which statement below is represented by the correct ratio? Choose all that apply.
"For every 4 boys in Mr. Washington's class, there are 3 girls." The ratio of boys to girls is 3:4.
"For every 10 minutes of reading, I can finish 15 pages of my book." The ratio of minutes reading to finished pages is 2.3.
"For every 50 shoppers at the grocery store, 25 watermelons are sold." The ratio of shoppers to watermelons sold is 1:2.
For every 7 tomato plants planted, 36 tomatoes will grow. The ratio of plants to tomatoes is 7:36.

Answers

Answer:

Step-by-step explanation:

Its basic all you do is multiply 4 x 3 and you get 12 ywwww!!!!!!!!!

What is a in the parallelogram

Answers

A parallelogram is a shape with opposite sides that are parallel and equal in length.

Find the domain of y = log(2 - 4x).

Answers

Answer:

x<1/2

Step-by-step explanation:

The total points scored in the games of an NBA playoff series: 195 177 215 200 189 232 201 199 192 201

Answers

Step-by-step explanation:

something is missing. maybe mean, median

7283
+3124
----------​

Answers

Answer:

10407

Step-by-step explanation:


PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

Answer:

y=-26x

Step-by-step explanation:

help 8th grade adv math

Answers

Answer:

6, -6

Step-by-step explanation:

The 2nd roots of 36 are 6 and -6 since

6^2 = 36

and

(-6)^2 = 36

What Reasoning could you use to prove the two triangles shown below are congruent?

AAS
SAS
ASA

SSS

Answers

I KNOW ITS SAS....................

you need to use SAS

Step-by-step explanation:

so first you write PQ=QR

PQS=SQR

PS=SR

whose
The boy ..... dog was hit by a car has not been to school for 3 days,​

Answers

Step-by-step explanation:

huh what you are trying to say

dinner out at nice restaurant cost $45 plus a 20% tip what was the total cost of dinner ​

Answers

Answer:

$54 because the tip would be $9 so just add 45 and 9

Answer:

$54

Step-by-step explanation:

Since we are adding a 20% tip to the original cost of 45, the equation is

45+(0.2)(45),

since we want to add 20% of 45 to the original 45.

Solving that gives us 54.

Select the statement that correctly describes the solution to this system of equations.

X+3y=5
Y=4x-7


A. There is no solution
B. There are infinitely many solutions.
C. There is exactly one solution at (2,1).
D. There is exactly one solution at (4,2).


Which 1?

Answers

x+3(4x-7)=5
x+12x-21=5
13x-21=5
13x=26
x=2

y=4x-7
y=4(2)-7
y=8-7
y=1

ANSWER: C. solution at (2,1)

Answer:

C

Step-by-step explanation:

if you substitute in for x and y it works

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