MATHEMATICS HIGH SCHOOL

You deposit $3000 in a savings account that earns 2.9% annual interest compounded monthly. You also save $80 per month in a safe at home. Write a function for the total amount of money saved C(t)=b(t)+h(t), where b(t) represents the balance of your savings account and h(t) represents the amount in your safe after t years. Round any decimals to three decimal places.

Answers

Answer 1

Answer:

Answer:

C(t)=3000(1.002417)^12t+960t

if T=1 year then the saving will be : 4048.17

Step-by-step explanation:

3000 deposit amount, 2.9 compound monthly interest . save 80 dollars per month at home .

A=p(1+r)^t

A=3000(1+0.029/12)^12t

A=3000(1.002417)^12t dollars

for the amount saved at home=80*12t=960t dollars

C(t)=3000(1.002417)^12t+960t

if T=1 year then the saving will be :

C(t)=3000(1.002417)^12t+960t

=3088.17+960= 4048.17 dollars

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What's the solution for x? 4+x+2-2x=5

Answers

4 + x + 2 - 2x = 5

First, simplify to 4 - x + 2.
$4 - x + 2 = 5$
Second, keep the '- x' and add 4 + 2.
$6 - x = 5$
Third, subtract '6' from both sides.
$-x = 5 - 6$
Fourth, subtract 5 - 6.
$-x = -1$
Fifth, multiply both sides by -1.
$x = 1$

Answer: x = 1

SOLVE for r.
V=(1/3)pi r^2 h

Answers

V=(1/3)pi r^2 h
3V = pi r^2 h
3V/pi = r^2 h
3V/h*pi = r^2
r = sqrt (3V/h*pi)

This is a picture of the answer.

A newborn baby's weight is recorded each month, from the day of birth until 12 months. one baby's weights, in pounds, are recorded below: 7.20, 9.15, 11.01, 12.56, 14.04, 15.43, 16.52, 17.68, 18.77, 19.69, 20.22, 21.05, 21.90 what is the average amount of monthly weight gain, rounded to the nearest hundredth of a pound, each month? a. 1.13
b. 15.79
c. 1.23
d. 16.52

Answers

Answer:

15.79

Step-by-step explanation:

To find the average amount of monthly weight gain, we need to find the average first.

Average is defined as the sum of the values (in our case value of weight in each month) and that sum divided by the number of values (in our case it is the number of months).

Finding the average:

$A=(7.20+9.15+11.01+12.56+14.04+15.43+16.52+17.68+18.77+19.69+20.22+21.05+21.90)/(13)$

Since there are 13 values so we sum up all the values and divided by the number of values.

$A=(205.22)/(13)=15.786\approx15.79$

When rounded to the nearest hundredth of a pound we get 15.79 pounds.

Melissa walked at a rate of 88 feet per minute. what was her approximate speed to the nearest tenth of a mile per hour? 0.1 miles per hour 1.0 miles per hour 2.8 miles per hour 8.8 miles per hour

Answers

Answer:

Melissa walked at a rate of 1.0 miles per hour.

Step-by-step explanation:

As given

Melissa walked at a rate of 88 feet per minute .

$1\ minutes = (1)/(60)\ hour$

$1\ feet = (1)/(5280)\ hour$

Now convert 88 feet per minutes into miles per hour.

$(88\ feet)/(minutes)= (88* (1)/(5280))/((1)/(60))\ miles\ per\ hour$

$(88\ feet)/(minutes)= ((88)/(5280))/((1)/(60))\ miles\ per\ hour$

$(88\ feet)/(minutes)= (0.017)/(0.017)\ (Approx)\ miles\ per\ hour$

$(88\ feet)/(minutes)= 1.0\ miles\ per\ hour$

Therefore the Melissa walked at a rate of 1.0 miles per hour.

88x60=5280
I believe it's 1 mile.

The number of roses (r) in a garden increases when the number of weeds (w) decreases. Write the correct equation for this scenario, and solve for the number of roses when there are 5 weeds.Weeds Roses
10 20
20 10

Answers

Number of roses (r) in a garden increases when the number of weeds (w) decreases, this supports an inverse relationship between the two variables.
The formula is then therefore, r = k/w
Solve for constant first.
r = k/w
20 = k/10
200 = k

r=200/5
r=40 roses
40 roses when there are 5 weeds.

Answer:

The Inverse variation says that:

$y \propto (1)/(x)$ ,