29
A person invests $5000 in a bank account paying 4.5% interest compounded continously. To the nearest tenth
of a year, how long must the person leave the money in the bank until it reaches $10,200?

6.9 years
10.2 years
20.1 years
15.8 years

Answer:

56.25

Step-by-step explanation:

This is the same as writing [tex]3^9[/tex]

====================================================

How to get that answer:

The lowest height is 3^8, and the highest point is 3 times that value.

We can think of that second "3" as really 3^1. This is because x^1 = x for any real number.

Multiply 3^8 and 3^1 using the rule that a^b*a^c = a^(b+c). We add the exponents together.

Therefore, 3^8*3^1 = 3^(8+1) = 3^9

Side notes:

Answer:

3^9

Step-by-step explanation:

3 * 3^8

3^1 * 3^8

3^1+8

= 3^9

Answer:

x = 27

Step-by-step explanation:

∠ GAF = 90° , then

x + 63 = 90 ( subtract 63 from both sides )

x = 27

Answer:

27

Step-by-step explanation:

Angle x and 63 are complementary angles forming 90

Therefore,

90 - 63 = x

27 = x

Answer:

[tex]20\:\mathrm{in}[/tex]

Step-by-step explanation:

The lateral surface area of a cone is given by [tex]A=\pi r\ell[/tex], where [tex]r[/tex] is the radius of the base of the cone and [tex]\ell[/tex] is the cone's slant height.

Solving for [tex]\ell[/tex]:

[tex]200\pi=10\pi\ell,\\\ell=\frac{200\pi}{100\pi}=\boxed{20\:\mathrm{in}}[/tex]

*Note: It is implied that the surface area of 200 pi square inches is lateral surface area and not total surface area, because it is impossible to obtain a total surface area of 200 pi with a radius of 10 inches.

Answer:

answer d... (2,3)

Step-by-step explanation:

goodluck man!

Answer:

4 approx.

Step-by-step explanation:

The number of layers of 1-inch cubes that Mark packed is determined by assuming that the larger box is also a cube.

let the N be the number of layers of 1-inch cubes that would it take to fill the box.

Since the larger box is also a cube

Therefore, 96 = N^3

N = (96)^(1/3)

N = 4√6

Therefore, there would be 4 layers of the 1-inch cube and some extra incomplete layer

Answer:

light blue

bbbbbbbbccccc i said and brainly wont just let me type the answer if im wrong sorry

Answer:

13) [tex]n=-3,-7[/tex]

14) [tex]b=-4,-8[/tex]

15) [tex]m=-7[/tex]

16) [tex]a=-5,-7[/tex]

Step-by-step explanation:

Answer:

452.39

Step-by-step explanation:

to find the surface area of a sphere all you need is the radius (half the diameter) and assuming the sphere touches both top and bottom that makes the radius 6 so your equation is

SA=4πr^2

SA=4*π*6^2

SA=4*π*36

SA=4*113.09

SA=452.389

then rounded up to 452.39, that is your answer

x = 12

Step-by-step explanation:

From Pythagorean theorem,

x^2 + 9^2 = 15^2

or

x^2 = 225 - 81 = 144

x = 12

Answer: all of the above

Step-by-step explanation:

Answer:

the second answer choice

Step-by-step explanation:

there are two sides that are similar in size, and an angle, so it is SAS

Answer:

x=90° and y=35°

Step-by-step explanation:

to get x and y first you must find the middle angles based on the information you have so:

35+90+n=180° solve for n to get what the middle angles are (since they are vertical angles they are equal) so the middle angles are both 55 degrees

and then 180-x=that angle that is also on the line with x so we'll call it k

so k+55+y=180°

we can see that y equals 35* because I noticed that those are parallel lines on the outside of the triangle so 35* and y angles are congruent and y =35°

now 35+55+k=180°

solve for the angle next to x which we called k and it is 90°

so x=90° and y=35°

after all this math I realized that if they are parallel lines then we can just use that to figure it out so use the properties to find out that x=90° and y=35°

Answer:

12

Step-by-step explanation:

3×4=12

three multiply by four is equal to 12.

Answer:

5 u³v + 3u²v² + 4 uv + 5

Step-by-step explanation:

Answer: Your question is poorly written, the Normal Curve is missing attached is a free sketch of normal distribution curve

answer : attached below

Step-by-step explanation:

Given data :

Mean = 80

standard deviation = 10

for a Normal distribution curve to the right of the mean value is ; +10SD , +20SD, +30SD........ +250D while to the left is  -10SD , -20SD, -30SD....... -350D

Answer:- 1/6

Step-by-step explanation:

Answer:

V = 7,600.17

Step-by-step explanation:

Given:

V=25000(0.82)^t

Where,

V = value of the car

t = time in years

Find V when t = 6

V = 25,000(0.82)^t

= 25,000(0.82)^6

= 25,000(0.304006671424)

= 7,600.1667856

Approximately

V = 7,600.17

Answer:

12.5 inches is the correct answer.

Step-by-step explanation:

I can bet you with brainliest post if it is correct mark me brainliest and wrong then spam me(;

Answer:

658-10=648

Step-by-step explanation:

subtract 10 from 658.

Answer:

Each piece is 1.12 meters long

Step-by-step explanation:

7 equal pieces = divide x by 7

equation: 7.84 / 7

Answer:

a. Simplify each term. 49/2+0

Add 49/2 and 0.

49/2

The result can be shown in multiple forms.

Exact Form:

49/2

b. Replace the variable a with −13 in the expression.

−(−1/3)²b²−3(−1/3)³b²

Replace the variable b with −1 in the expression.

−(−1/3)²(−1)²−3(−1/3)³(−1)²

Simplify each term. −1/9+1/9 = 0

Combine fractions. 0

Step-by-step explanation:

z = 13/9?? i don't really know hope i helped

Answer:

B) z = 1 4/9

Step-by-step explanation:

z - 7/9 = 2/3

z - 7/9 = 6/9

z (- 7/9 + 7/9) = 6/9 + 7/9

z = 13/9

z = 1 4/9

Answer:

11:

since diagonal are equal of rectangle

QS=RT

4x+6=6x-4

6+4=6x-4x

2x=10

x=10/2

x=5

now

diagonal :4x+6=4*5+6=26

12.

again

QS=RT

9x+12=11x-10

12+10=11x-9x

2x=22

x=11

now

diagonal=9*11+12=99+12=111

Answer:

Mode: 44 (mode is biggest number)

Mean: 30 (the average between numbers)

Step-by-step explanation:

Calculating the Mean

44 + 43 = 87

25 + 8 = 33

87 + 33 = 120

120 + 30 = 150

150/5 = 30

Divide to get 70.5

turn into fraction

70 5/10=

70 1/2

Answer:

70 1/2

Step-by-step explanation:

first you have to divide 423 into 6 and then the remainder is the fraction so the answer is 70 5/10 or 70 1/2, same thing

Step-by-step explanation:

Write the system of equations as an augmented matrix. Then solve for x and y.

3x+y=-11

-9x-3y=33

Answer:

K=32

Step-by-step ex