Damian invested $880 in an account paying an interest rate of 5.2% compounded
annually. Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $1,290?

Answers

Answer 1

Answer:

Step-by-step explanation:

880×1.052^t = 1290

1.052^t = 1290/880 = 129/88

t ≅ 7.5 years

Answer 2

Answer:

7.5 years

Step-by-step explanation:

Given:

Investment P = $880Interest rate r = 5.2% = 0.052 timesCompound number n = 1 (annual)Time t = ?Final amount A = $1290

The equation is below, solve for t:

A = P(1 + r/)^(nt) 1290 = 880(1 + 0.052)^t1.052^t = 1290/8801.052^t = 1.4659t = log 1.4659 / log 1.052t = 7.5 years (rounded)

Related Questions

(a^-3bc^0)^-2/(ab^3c^4)^5

Answers

6b6
——- (Hope this helps)
ac2

which equation model the relationship the minutes spent running y and the distance of miles ran x​

Answers

Answer:

Definition of the day after a 6thgirl but if you want to go explore the rest of the house and opened

can somone please help me​

Answers

Answer:

Choice C. -17

Step-by-step explanation:

6 to 7 = -13

7 to 8 = -15

8 to 9 = =17

What is the verbal expression for 4(3j + 1 + j) (GIVING BRAINLIEST TO BEST ANSWER)

Answers

Answer:

make a story!

Step-by-step explanation:

I think what they want you to do is add a story Line to the problem! For example : John is selling cards for $4. After selling 3 cards etc, Sorry if this isn't much of a help! They want you to make a story to the answer (I think)

Write the standard equation of the circle with center (– 10, –3) that passes through the point (-3,3).

Answers

Answer:

[tex](x+10)^2 + (y+3)^2 = 85[/tex]

Step-by-step explanation:

Equation of a circle:

The standard equation of a circle with center [tex](x_0,y_0)[/tex] is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

In which r is the radius.

Center (– 10, –3)

This means that [tex]x_0 = -10, y_0 = -3[/tex]. So

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

[tex](x - (-10))^2 + (y - (-3))^2 = r^2[/tex]

[tex](x+10)^2 + (y+3)^2 = r^2[/tex]

Passes through the point (-3,3).

This means that we use [tex]x = -3, y = 3[/tex] to find the radius squared. So

[tex](x+10)^2 + (y+3)^2 = r^2[/tex]

[tex](-3+10)^2 + (3+3)^2 = r^2[/tex]

[tex]r^2 = 49 + 36[/tex]

[tex]r^2 = 85[/tex]

The equation of the circle is:

[tex](x+10)^2 + (y+3)^2 = r^2[/tex]

[tex](x+10)^2 + (y+3)^2 = 85[/tex]

Goofy is solving a system of equations. He is created x
and y table of values. What numbers are missing in the
yellow table?

Answers

Answer:

The top box:  3

The middle box:  2

The bottom box:  1

Step-by-step explanation:

In order to fill out the yellow boxes we have to use the equation above the table, and plug in the x values, and so we get...

If x = 2, then

y = x + 1

y = 2 + 1

y = 3

If x = 1, then

y = x + 1

y = 1 + 1

y = 2

If x = 0, then

y = x + 1

y = 0 + 1

y = 1

4. A marching band has 64 members. The
band director wants to arrange the
band members into a square formation.
How many band members will be in
each row?

A. 8
B. 7
C. 6
D.5

Answers

pretty sure the answer would be C
The correct answer is A. There would be 8 band members in each row

A spinner has six sections of equal shape and size. Each section is either black or white. The table shows the result of an experiment when the spinner was spun 76 times:

Result of Spin Black White
Number of Spins 19 57

Based on the data, which of the following best describes the experimental probability of the arrow landing on a black or white section of the spinner? (5 points)

A. The spinner is 3 times more likely to land on white.
B. The spinner is 3 times more likely to land on black.
C. The information cannot be concluded from the data.
D. The spinner is equally likely to land on black or white.

Answers

Answer:

A

Step-by-step explanation:

57 rounded is 60

19 rounded is 20

60/20

3

Which of the following numbers are equivalent to 3 hundredths

Answers

Answer:

where is the options

Step-by-step explanation:

please send full question

find the indicated limit if it exists

Answers

Answer:

[tex]\displaystyle \lim_{x \to \infty} \frac{x^2}{1 + 3x + 5x^2} = \frac{1}{5}[/tex]

General Formulas and Concepts:

Calculus

Limits

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \lim_{x \to \infty} \frac{x^2}{1 + 3x + 5x^2}[/tex]

Step 2: Determine Rule

If the highest power of x in a rational expression is the same both numerator and denominator, then the limit as x approached ∞ would be the highest term coefficient in the numerator divided by the highest term coefficient in the denominator.

Step 3: Identify

Numerator highest power: x²

Coefficient: 1

Denominator highest power: 5x²

Coefficient: 5

Step 4: Evaluate

Apply rule.

[tex]\displaystyle \lim_{x \to \infty} \frac{x^2}{1 + 3x + 5x^2} = \frac{1}{5}[/tex]

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Limits

Book: College Calculus 10e

HELPPP AGAIN PLZ HELP ME OUT!!!!

Answers

Answer: 5400 cm^2

Step-by-step explanation:

15 x 20 x 9 x 2 = 5400

Answer:

5400

Step-by-step explanation:

to get volume you multiply length by width by height. so 15 x 20 x 9 which equals 2700. but there are 2 prisms, so you multiply by 2 which equates to 540

one angle of a linear pair is four times the other,find these angles.​

Answers

Picture? we don’t know what you’re trying to solve

I GIVE BRAINLIEST FOR EXPLANATION AND CORRECT ANSWER EXTRA POINTS 1

Answers

Answer:

864 squared

Step-by-step explanation:

Answer:

This is a right angle triangle so

[tex] {hyp}^{2} = {opp}^{2} + {adj}^{2} [/tex]

[tex] {42}^{2} = a {}^{2} + 30 {}^{2} \\ 1764 = a {}^{2} + 900 \\ {a }^{2} = 1764 - 900 \\ a { }^{2} = 864 \\ a = \sqrt{864 } \\ a = 29.39[/tex]

FIND THE AREA OF THE (TRIANGLE!)

Answers

Answer:

114 cm^2

Step-by-step explanation:

area of a triangle= base x height divided by 2

Answer:

Triangle = 114 ft²

Rectangle = 374 ft²

Total figure = 488 ft²

Step-by-step explanation:

Triangle = 1/2 b*h

Triangle = 1/2(12x19)

Triangle = 1/2(228)

Triangle = 114 ft²

Rectangle = 22 x 17

Rectangle = 374 ft²

Total area = 114 ft² + 374 ft²

Total area = 488 ft²

snow is falling in syracuse, NY after 2 hours, 4 inches of snow has fallen.

1 if it continues to snow at the same rate, how many inches of snow would you expect after 6.5 hours?
2 write and equation that gives us that amount of snow that has fallen after z hours at this rate.
3 how many inches will fall in 24 hours if it continues to snow at this rate.
time (hours) snow (inches)
blank. 1
1. blank
2. 4
6.5. blank
x. blank​

Answers

Answer:

1) 13 inches

2) 2z=x

3) 48 inches

Step-by-step explanation:

it snows 4/2 = 2 inches perhour

1. 2x 6.5 = 13 inches

2. y = 2z

3. 2x 24 = 48 inches

How many different committees can be formed from 7 people if each committee must consist of at least 3 people?

Answers

Answer: 2 committees

Step-by-step explanation: 7 cant be divided evenly by 3. only two times. Only 2 groups can be fully formed.

2

Explanation : divide

A line passes through the point (-8, 1) and has a slope of 5/4

Answers

Answer:

The equation is: y y = 5/4 * x - 13

Step-by-step explanation:

The slope-intercept y = mx + c form of a straight line is In this case we have a point, (x, y) and the slope, m so all we need is a value for c. Substitute into y = mx + c - 3 = 5/4 * (8) + c - 3 = 10 + c c = - 13 y = 5/4 * x - 13 The equation is: y Or you can use the formula for the situation where you have a point, (x 1 ,y 1 ) and the slope, (m) y-y 1 =m(x-x 1 ) y - (- 3) = 5/4 * (x - 8) y + 3 = 5/4 * x - 10 y = 5/4 * x - 13

Please help me with this question:))))))

Answers

Answer:

area of polygons

Step-by-step explanation:

you've been given the radius

find the central angle 360/8

highlight a triangle for consideration

draw an altitude

this is your apothem

use sine to find the opposite side

double that, that is 1 side, multiply by 8, that is your perimeter

use cosine to find the apothem length

use 1/2aP to find the area.

PLZ ANSWER ASASP ALMOST DUE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

D) The third side could be 4 meters long.

Step-by-step explanation:

The third side of a triangle must be greater than the difference and less than the sum of the other two sides.

5-4=1

5+4=9

So the third side must be GREATER THAN 1 and LESS THAN 9.  (1<x<9)

Therefore, the answer can't be A or C.  The second one could be correct, depending on how much less than 4 it is.  But the last one is definitely correct.

please help i’m scared of my teacher :(

Answers

Hahahhahahahahahhahahahahhahah

PLEASE HELPP ITS QUIZ: if the product 2x+1 and 3x-4 were placed in ax^2+bx+c form, what would the value of a+b+c equal? FULL EXPLANATION PLEASE 20 POINTS!!

Answers

Answer:

64

Step-by-step explanation:

Write the correct equation that passes through the points (0, 3) and (2, -5)

Answers

Answer:

y = -4x + 3

Step-by-step explanation:

(0, 3) and (2, -5)

m= (y2-y1)/(x2-x1)

m= (-5-3)/(2-0)

m= (-8)/2

m = -4

y - y1 = m(x - x1)

y - 3 = -4(x - 0)

y - 3 = -4x + 0

y = -4x + 3

Solve the for the variable x.
-9x=153?

Answers

Step-by-step explanation:

-9x=153 (add 9 on both sides to eliminate the 9 on the side with the x)

-9+9x=153+9

x=162

What type of triangle is shown in the image?

Answers

Answer:

Acute isosceles triangle

Step-by-step explanation:

No angle is greater than 90 and it has two equal sides

Answer:

acute isosceles triangle

Step-by-step explanation:

All of the angles are less than 90 degrees and two of the side are the same length

Describe the transformation from the graph of f(x)=12x2+1 to the graph of g(x)=f(x)−4.

Answers

Answer:

Step-by-step explanation:

The graph of g(x) = f(x) - 4 is the same as that of f(x), EXCEPT that it has been translated down by 4 units.  

The graphs of  f(x)=12x2 + 1   and  g(x)=f(x)−4 are both parabolas that open up and have their vertices on the same vertical line (the y-axis).

If you place a 34-foot ladder against the top of the 30-foot building,how many feet will the bottom of the ladder be from the bottom of the building

Answers

Answer:

It will be 16 feet by the bottom of the building

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

30[2]+b[2]=34[2}

900+b[2]=1156

-900=-900

=16

Anyone know how to do this ! ?

Answers

Answer:

which one

number please for giving answer

I GIVE BRAINLIEST FOR EXPLANATION AND CORRECT ANSWER EXTRA POINTS 8

Answers

Answer:

x = 7.423891441

Step-by-step explanation:

Hey There!

So they want you to solve for x using law of sines

Law of sines states that sin ( an angle) divided by it's opposite side equals sin( a different angle) divided by its opposite side

so basically

[tex]\frac{sin23}{x} =\frac{sin90}{19}[/tex]

now we can solve for x

step 1 multiply each side by sin 23

the fraction would split and it would be

[tex]x=\frac{19sin23}{sin90}\\x = 7.423891441[/tex]

So we can conclude that x = 7.423891441

Answer:

13

Step-by-step explanation:

Solve the equation for y: m(x + y) = K

Answers

Answer: y= k/m - x

Step-by-step explanation:

First you need to divide both sides by( M

(m(x+y)) / m = k/m

x + y - x = k/m - x

y = k/m - x

The perimeter of triangle DEF is 4x+3y . What is the measure of the third side of the triangle?

Answers

Complete Question:

The perimeter of triangle DEF is 3x + 3y. Find the measure of the missing side. (One side is x-y, the other is x+y)

Answer:

[tex]Side\ 3 = 2x+ 3y[/tex]

Step-by-step explanation:

Given

[tex]P = 4x + 3y[/tex] --- Perimeter

[tex]Side\ 1 = x - y[/tex]

[tex]Side\ 2 = x + y[/tex]

Required

Determine Side 3

The perimeter of a triangle is calculated as:

[tex]Permeter = Side\ 1 + Side\ 2 + Side\ 3[/tex]

[tex]4x + 3y = x - y + x + y + Side\ 3[/tex]

Collect Like Terms

[tex]4x - x - x+ 3y-y + y = Side\ 3[/tex]

[tex]2x+ 3y = Side\ 3[/tex]

[tex]Side\ 3 = 2x+ 3y[/tex]

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