Hailey invested $95,000 in an account paying an interest rate of 7\tfrac{1}{4}7 4 1 ​ % compounded continuously. Brooklyn invested $95,000 in an account paying an interest rate of 6\tfrac{5}{8}6 8 5 ​ % compounded monthly. After 10 years, how much more money would Hailey have in her account than Brooklyn, to the nearest dollar?

Answer:

2nd option

Step-by-step explanation:

Using [tex]a_{n}[/tex] = 5[tex]a_{n-1}[/tex] and a₁ = 2 then

a₂ = 5 × a₁ = 5 × 2 = 10

a₃ = 5 × a₂ = 5 × 10 = 50

the first 3 terms are 2, 10, 50

The first three terms of the given sequence are 2, 10, 50

A sequence in which every term is obtained by multiplying or dividing a definite number with the preceding number is known as a geometric sequence.

Given that, a sequence can be generated by using aₙ₋₁ = 5 and a₁ = 2,

We need to find the first three terms of the sequence,

Therefore, aₙ₋₁ = 5 and a₁ = 2 then

a₂ = 5 × a₁ = 5 × 2 = 10

a₃ = 5 × a₂ = 5 × 10 = 50

Therefore,

The first 3 terms are 2, 10, 50

Hence, the first three terms of the given sequence are 2, 10, 50

Learn more about sequence, click;

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Answer:

40 miles , 1 hour 30 mins

Step-by-step explanation:

(a)

His visit to Nicola is indicted by the horizontal part of the graph.

Using the vertical ( distance ) axis , this shows 40 miles

(b)

Using the horizontal ( time ) axis

The left side of the horizontal red line shows 10.00

The right side shows 11.30

Then 11.30 - 10.00 = 1 hour 30 minutes

Answer:

Circumference of circle = πd = π × 16 =16 π in.

or

circumference of circle = 2πr = 2×π×8= 16 π in.

Answer:

bags of snack = x = 6

bottles of water = y = 5

Step-by-step explanation:

The system of equations can be used to determine how many of each item they bought.

20.00=2.50x+1.00y

11=x+y

how many bags of snack mix did they buy?

Let

bags of snack = x

bottles of water = y

20.00 = 2.50x + 1.00y (1)

11 = x + y (2)

From (2)

x = 11 - y

Substitute x = 11 - y into (1)

20.00 = 2.50x + 1.00y

20.00 = 2.50(11 - y) + 1.00y

20.00 = 27.5 - 2.50y + 1.00y

20.00 - 27.5 = -2.50y + 1.00y

-7.5 = -1.5y

y = -7.5/-1.5

y = 5

Substitute y = 5 into (2)

11 = x + y

11 = x + 5

11 - 5 = x

x = 6

bags of snack = x = 6

bottles of water = y = 5

Answer:

5

Step-by-step explanation:

Answer:

mean: 15

median: 14

mode: 13

range: 8

Answer:

Step-by-step explanation:

Answer:

-15 < x

Step-by-step explanation:

Answer:

x = 7.5

I used the Pythagorean theorem:

[tex]c=\sqrt{x} a^2+b^2=\sqrt{x} 4.5^2+6^2=7.5[/tex]

Step-by-step explanation:

Have a nice day!

and can I maybe have brainliest? Thanks!

Answer:

It’s C 1/12

Step-by-step explanation:

Answer:

The value of x is 3

Step-by-step explanation:

Mathematically, when two triangles are similar, the ratio of their corresponding sides are equal

Thus, we have it that;

4.5/7.5 = x/5

5 * 4.5 = 7.5 * x

x = (5 * 4.5)/7.5

x = 3

Answer:

1. Area: 5963

2. Permiter: 312

3. perminter

4.Area

Step-by-step explanation:

Hi :D

Answer:

1 haircut = 47 dollars

1 colouring = 98 dollars

Step-by-step explanation:

Let [tex]x[/tex] be equal to the cost of 1 haircut.

Let [tex]y[/tex] be equal to the cost of 1 colouring treatment.

1) Form equations

Equation 1: 3 haircuts + 1 colour = 239 dollars

⇒ [tex]3x+y=239[/tex]

Equation 2: 2 haircuts + 1 colour = 192 dollars

⇒ [tex]2x+y=192[/tex]

2) Solve the system of equations

Subtract equation 2 from equation 1 to cancel out y (elimination)

- [tex]3x+y=239\\2x+y=192[/tex]

⇒ [tex]3x-2x+y-y=239-192\\x=47[/tex]

Therefore, Natalie charges 47 dollars for 1 haircut.

Plug x back into one of the equations to solve for y

[tex]2(47)+y=192\\94+y=192[/tex]

Subtract both sides by 94

[tex]94+y-94=192-94\\y=98[/tex]

Therefore, Natalie charges 98 dollars for 1 colouring treatment.

I hope this helps!

Answer:

3^m x 3^n = 3^-3

All values for m and n, when m+n= -3.

m=1,n=-4;m=-1,n=-2......

Step-by-step explanation:

Answer: 4

Step-by-step explanation:

Formula:

logb(x) = y, if by = x

Input:

x = 256

b = 4

Solution:

y = log4 256

= log4 44

= 4 log4 4 = 4 x 1

log4 256 = 4

Answer:

(-2,2), (6,6)

Step-by-step explanation:

..........

Answer:

Step-by-step explanation:

9/(-3)+6x2-7

9/-3 = -3,

6 x 2 = 12,

-3 + 12 = 9,

9-7 = 2

Answer:

2

Step-by-step explanation:

9/(-3)+6*2-7

-9/3+6*2-7     simplify 9/3 to 3

-3+6*2-7

-3+12-7

9-7

2

21Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

15+10y−4xy−66

Soustraire 66 de 15 pour obtenir −51.

−51+10y−4xy

Answer:

-4y

Step-by-step explanation:

15 + 10y - 4xy - 6=-4y

Step-by-step explanation:

[tex](x...y = (2...4)| [/tex]

Answer:

x = 2, y = 4

Step-by-step explanation:

We can solve the system of equations using substitution. (We can't use elimination for a problem like this because there's no addition or subtraction in the first equation, and besides, it would make it longer.)

Replace the y value in [x = -y + 6] with "2x", because y = 2x.

x = -2x + 6

From there, we can solve the linear equation.

x = -2x + 6

add 2x to both sides

3x = 6

divide by 3

x = 2

From x, we can also figure out what y equals.

Replace the x value in [y = 2x] with "2", because x = 2.

y = 2*2

y = 4

x = 2 and y = 4

Remember that the Rise tests are only for your state. Different states have different tests. My state has the Peaks test.

Answer:

Step-by-step explanation:

18 : 63

Both have 9 in common

2 : 7

Option C is the correct answer

Option F is the correct answer

Answer:

hbb

2

Step-by-step explanation:

Step-by-step explanation:

start with x which is 6

then plot it

then do y which is 2

and plot

Answer:

Make a grid and put your order pair in the graph

because you would take 6,2 and on the grid go up to 6 and down all the to 2 i hope i helped!

Step-by-step explanation:

Answer:

Step-by-step explanation:

make the question clearer homie urs makes no sense

Answer:

x=125

Step-by-step explanation:

To solve we must find a number that when divided by 5 equals 25.

To do this we can either...

Take each answer choice and plug in the value into the x spot and see if it works...

5/5=25  WRONG

10/5=25 WRONG

25/5=25 WRONG

125/5=25 CORRECT!

ORRR... we can set the equation so that the x is alone on one side.

To do this we can multiply both sides by 5

[tex]\frac{x}{5}[/tex]=25 ---> x=25×5

x=125

Answer:

I use ignitia too! ANd the other person is correct, i think..

Step-by-step explanation:

Answer:

All false.

Step-by-step explanation:

The ratio is 3:4.

For every 3 girls, there are 4 boys.

If a class has 7 people, 3 are girls and 4 are boys.

Hence the fraction of boys is 4/7 and girls are 3/7.

Therefore, a and b are False.

The number of boys in the class cannot be 6. If the number of boys is 6, then the number of girls must be 4.5 to maintain the 3:4 ratio, but there cannot be half a girl. So, c is also false. d) the number of pupils in the class is 12. To maintain a 3:4 ratio, the number of pupils in the class must be in multiples of 7. Hence, d is also false.

Answer:

59°

Step-by-step explanation:

180°-116°=64°

57°+64°=121

180°-121°=59°

Answer:

20cm^3

Step-by-step explanation:

The figure is composed by two parallelepipeds

first one

base area = 2 x 1 = 2 cm^2

height = 3 + 2 = 5 cm

V = base area x height

V = 2 x 5 = 10cm^3

second one

base area = 2 x 1 = 2 cm^2

height = 7-2  = 5 cm

V = 2 x 5 = 10 cm^3

total volume = 10 x 2 = 20 cm^3

Answer:

The total number of halves is 4 and the lines are considered as 1/4, 1/2 and 3/4.

Step-by-step explanation:

When both the strips are placed end to end the total number of halves is 4, 2 for each of the paper strips. Lines are as indicated in the figure attached.