Your grandmother has given you a gift of $1500 for your birthday. You are thinking about your future and
considering two different options on how to manage your money. Option A: You take all of your $1500 and
deposit it into a savings account that has a 5% interest rate per year. Option B: You spend $500 on a new
Apple Watch and deposit the remaining $1000 in a savings account that has a 5.5% interest rate per year.
.
Which account would have the most in 10 years? 20 years? Mathematically, explain your reasoning.
Which option would you choose and why?
.

Answer:

tan(Y) = 7/4

tan(Z) = 4/7

Step-by-step explanation:

Tangent ratios are the TOA of SOHCAHTOA.

tan( angle ) = opposite / adjacent

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Carlos made:

Lily made:

Together they made:

Lily is right. We don't know what 120 means in Carlos's equation, he should put 12L for Lily.

Answer:

3x+5

Step-by-step explanation:

Given:

The value of car before two years = £10000

The value of the car decreases by 5% each year.

To find:

The present value of the car.

Solution:

The exponential decay model for present value is

[tex]y=a\left(1-\dfrac{r}{100}\right)^t[/tex]

Where, a is the initial value, r is the rate of decay and t is time in years.

Putting P=10000, r=5 and t 2, we get

[tex]y=10000\left(1-\dfrac{5}{100}\right)^2[/tex]

[tex]y=10000\left(1-0.05\right)^2[/tex]

[tex]y=10000\left(0.95\right)^2[/tex]

On further simplification, we get

[tex]y=10000(0.95)(0.95)[/tex]

[tex]y=9025[/tex]

Therefore, the present value of the car is £9025.

Answer:

above beat me to it he is right

(-7, 0)

i promise im right

If g(1) = 0 and g(n) = g(n-1) + n, then g(2) = 2

The given relationship is:

g(1) = 0

g(n) = g(n-1) + n

g(2) = ?

Since g(1) is already known

g(2)  =   g(1)  +  2

Note that g(1) = 0

Substitute g(1) = 0 into g(2)  =   g(1)  +  2

g(2) = 0  +  2

g(2)  =  2

Therefore, if g(1) = 0 and g(n) = g(n-1) + n, then g(2) = 2

Learn more on sequence here: https://brainly.com/question/6561461

Answer:

0.3

Step-by-step explanation:

it's the only one not there

Answer:

8:1

Step-by-step explanation:

Don reads 8 pages a minute. Therefore the amount of pages he could read is 8 and the amount of time it takes is a minute

Answer: 8000 dm³

Step-by-step explanation:

1 m³= 1000 dm³

----------------------------------------------------

Given

8 m³= dm³

Solve

8 m³ × 1000 dm³/m³=8000 dm³

Hope this helps!! :)

Please let me know if you have any questions

Answer:

1. 75

2. 1

Step-by-step explanation:

Answer:

x=5.4

y= 9

z= 11

Step-by-step explanation:

5x= 27

x= 5.4

2y-5=y+4

y=9

3z = 33

z =11

Answer:

x=1.15

y=2.12

Step-by-step explanation:

look at the picture ..........

Answer:

it depends

Step-by-step explanation:

I could be very committed,

im 15 in july my name is mercedes. and im bi, I skate and taken

4/20 = 1/5

9/24 = 3/8

18/30 = 3/5

9/12 = 3/4

9/21 = 3/7

5/45 = 1/9

20/25 = 4/5

10/12 = 5/6

6/9 = 2/3

4/40 = 1/10

Explanation:

Find the greatest common factor then divide the numerator and denominator by the greatest common factor

Hope This Helps :)

Answer:

because as long as it's the same number, the equation is still the same as long as you have the same numbers and you're using the same subtraction/addition properly

Step-by-step explanation:

Given:

In ΔJKL, k = 4.1 cm, j = 3.8 cm and ∠J=63°.

To find:

The value of  ∠K to the nearest 10th of a degree.

Solution:

According to the Law of Sine:

[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

We have, In ΔJKL, k = 4.1 cm, j = 3.8 cm and ∠J=63°.

Using the Law of Sine, we get

[tex]\dfrac{j}{\sin J}=\dfrac{k}{\sin K}[/tex]

[tex]\dfrac{3.8}{\sin (63^\circ)}=\dfrac{4.1}{\sin K}[/tex]

[tex]3.8\sin K=4.1\sin (63^\circ)[/tex]

[tex]\sin K=\dfrac{4.1\sin (63^\circ)}{3.8}[/tex]

[tex]\sin K=0.961349[/tex]

[tex]K=\sin^{-1}(0.961349)[/tex]

[tex]K=74.0182[/tex]

[tex]K\approx 74.0[/tex]

Therefore, the measure of angle K is 74.0 degrees.

Answer:

hi

Step-by-step explanation:

Answer:

6.40$

Step-by-step explanation:

HOPE THIS HELPS

PLZZ MARK BRAINLEIST

Answer:-10hy-4h

Step-by-step explanation:

h*-10y and h*-4

Answer:

The basketball game sold 439  adult tickets and  858 student tickets.

Step-by-step explanation:

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is, in the systems of equations, one must look for the values ​​of the unknowns, with which when replacing, they must give the solution proposed in both equations.

Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $3,047  was collected on the sale of 1,291 tickets.

With "x" the number of adult tickets sold and "y" the number of student tickets sold, you have the following system of equations:

[tex]\left \{ {{x+y=1291} \atop {5*x+1*y=3047}} \right.[/tex]

Through the substitution method, you must solve for one of the unknowns in one of the equations and substitute its value in the following one: in this case you solve for the variable y from the first equation:

y=1291 -x

and you replace in the second equation:

5*x + 1291 - x= 3047

Solving, you get:

5*x-x= 3047 - 1291

4*x= 1756

x= 1756÷4

x=439

Replacing this value in the expresion y=1291 -x you get:

y=1291 -439

y= 858

The basketball game sold 439  adult tickets and  858 student tickets.

5418-6= 5412

Hope this helps

Answer:

Step-by-step explanation:

120+80=200 the total number of tickets

120(student tickets) ÷ 200 (total tickets)= .6 =60%

Answer:

bin

Step-by-step explanation:

bghgghhshshsbabbsnajswjjegvrjrjrhrbrhrriritt

Answer:

x=8

Step-by-step explanation:

(2x + 1)² = x² + (2x - 1)² = x² + (2x - 1)(2x - 1)

(2x + 1)(2x + 1) = x² + 4x²-2x-2x+1

4x²+2x+2x+1 = 5x²-4x+1

4x²+4x+1 = 5x²-4x+1

0= 5x²-4x²-4x-4x+1-1

0= x²-8x

x²-8x=0

x²=8x

x=8

Answer:

x=12

Step-by-step explanation:

move the 3 to the other side to get x by itself.

check: 12 + 3 = 15

Answer:

(Not sure)

x = 12

Step-by-step explanation:

x + 3 = 15

CLT

X = 15-3

× = 12

Answer:

13.4feet

Step-by-step explanation:

The set up forms a right triangle.

Given

Height of the staircase h = 12 feet

Base of the stairs b = 6feet

Required

Length of the ramp l

Using the pythagoras theorem

l² = h² + b²

l² = 12²+6²

l² = 144 + 36

l² = 180

l = √180

l = 13.42 feet

Hence the length of the ramp to the nearest tenth is 13.4feet

Answer:

A= -75

B= -60

C= -45

D= -15

E= 15

F=30

Step-by-step explanation:

Each point is 15 away, so you just add or subtract 15 based off of if it's a negative or positive number on the number line.

Hope this helped!