Ask question

Ask question

All categories

Marizza181 [45]

3 years ago

14

Michael deposited $1,500 into a savings account with a simple interest rate of 2%. How much money will he have in his account af

ter 4 years if no additional deposits or withdrawals are made?

1 answer:

laiz [17]3 years ago

4 0

Answer:

$1,620

Step-by-step explanation:

2% per year:

2% of 1,500 = 30

30 x 4 = 120

1500 + 120 = 1620

You might be interested in

Please can u answer these for me

ziro4ka [17]

18 . it's increasing by 5 every time so the next one after 23 is 28

4 0

3 years ago

3. Emilio is going to run 6 miles a day for 8 days. How many miles will he have completed

Nastasia [14]

Answer:

48

Step-by-step explanation:

6(miles per day) * 8(days) = 48

7 0

2 years ago

Math: Recursive Formula

olga55 [171]

Answer:

-10+12=2;+2

Step-by-step explanation:

4 0

3 years ago

10. An arithmetic sequence has this recursive formula. What is the explicit formula?

Mrrafil [7]

Answer:

$a_{n}=45-3n$

Step-by-step explanation:

Method 1:

Arithmetic sequence is in the form

$a_{n} =a_{1} +(n-1)d\\$

d is the common difference, can be found by:

$d=a_{n}-a_{n-1}=-3$

Subtituting the $a_{1}$ and $d$

You get:

$a_{n}=42+(-3)(n-1)=45-3n$

Method 2 (Mathematical induction):

Assume it is in form $a_{n}=45-3n$

Base step: $a_{1} =45-3(1)=42$

Inducive hypophesis: $a_{n}=45-3n$

GIven: $a_{n+1} =a_{n}-3$

$a_{n+1}=45-3n-3=45-3(n+1)$

Proved by mathematical induction

$a_{n}=45-3n$

5 0

3 years ago

Using a sheet of graph paper, solve the following system of equations graphically. Be sure to show any work, use a straight edge

madam [21]

Answer:

<h2> (-1,1)</h2>

Step-by-step explanation:

Given system is

$\left \{ {{x+y=0} \atop {x-y+2=0}} \right.$

If we graph, the solution would be the interception point between these two lines, because each linear equation represents a line. The lines are attached.

In the graph, you can observe that the solution is the point (-1,1), that is x = -1 and y = 1.

Now, if we want to solve this system by another method, we can just sum both equations and solve for <em>x</em>

$\left \{ {{x+y=0} \atop {x-y+2=0}} \right.$

$2x+2=0\\x=\frac{-2}{2}=-1$

Then, we replace this value in one equation to find the other value

$x+y=0\\-1+y=0\\y=1$

Therefore, the solution is (-1,1)

4 0

3 years ago