1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ss7ja [257]
3 years ago
13

Mary wants to buy a new house but needs money for the down payment. Her parents agree to lend her money at an annual rate of 2%,

charged as simple interest. They lend her $6000 for 3 years. She makes no payments except the one at the end of that time. Answer the following questions. If necessary, refer to the list of financial formulas.
(a) How much total interest will Mary have to pay?
(b) What will the total repayment amount be (including interest)? X
Mathematics
1 answer:
lukranit [14]3 years ago
3 0

Answer:

a) Simple interest paid = $360

b) Total repayment amount = $6360

Step-by-step explanation:

It is given that:

Principal, P = $6000

Rate of interest, R = 2%

Time, T = 3 years

<em>(a) Total interest paid</em>:

<u>Formula</u> for Simple Interest is given as:

S.I. = \dfrac{P \times R \times T}{100}

Putting the values of P, R and T to find out Simple Interest:\\\Rightarrow S.I. = \dfrac{6000 \times 2 \times 3}{100}\\\Rightarrow S.I. = \$360

<em>(b) Total repayment amount</em>:

We know that formula for total amount is given as:

<em>Amount = Principal + Simple Interest</em>

Amount = 6000 + 360 = $6360

So, total repayment amount = $6360

So, the answers are:

a) Simple interest paid = $360

b) Total repayment amount = $6360

You might be interested in
5m+100=2m+10 . what is the value of m ?
kkurt [141]
The value of m is -30 because once you get m on the one side the equation is 3m=-90 and once you divide -90 by 3 you get m=-30.
6 0
3 years ago
Read 2 more answers
A punch glass is in the shape of a hemisphere with a radius of 5 cm. If the punch is being poured into the glass so that the cha
Galina-37 [17]

Answer:

28.27 cm/s

Step-by-step explanation:

Though Process:

  • The punch glass (call it bowl to have a shape in mind) is in the shape of a hemisphere
  • the radius r=5cm
  • Punch is being poured into the bowl
  • The height at which the punch is increasing in the bowl is \frac{dh}{dt} = 1.5
  • the exposed area is a circle, (since the bowl is a hemisphere)
  • the radius of this circle can be written as 'a'
  • what is being asked is the rate of change of the exposed area when the height h = 2 cm
  • the rate of change of exposed area can be written as \frac{dA}{dt}.
  • since the exposed area is changing with respect to the height of punch. We can use the chain rule: \frac{dA}{dt} = \frac{dA}{dh} . \frac{dh}{dt}
  • and since A = \pi a^2 the chain rule above can simplified to \frac{da}{dt} = \frac{da}{dh} . \frac{dh}{dt} -- we can call this Eq(1)

Solution:

the area of the exposed circle is

A =\pi a^2

the rate of change of this area can be, (using chain rule)

\frac{dA}{dt} = 2 \pi a \frac{da}{dt} we can call this Eq(2)

what we are really concerned about is how a changes as the punch is being poured into the bowl i.e \frac{da}{dh}

So we need another formula: Using the property of hemispheres and pythagoras theorem, we can use:

r = \frac{a^2 + h^2}{2h}

and rearrage the formula so that a is the subject:

a^2 = 2rh - h^2

now we can derivate a with respect to h to get \frac{da}{dh}

2a \frac{da}{dh} = 2r - 2h

simplify

\frac{da}{dh} = \frac{r-h}{a}

we can put this in Eq(1) in place of \frac{da}{dh}

\frac{da}{dt} = \frac{r-h}{a} . \frac{dh}{dt}

and since we know \frac{dh}{dt} = 1.5

\frac{da}{dt} = \frac{(r-h)(1.5)}{a}

and now we use substitute this \frac{da}{dt}. in Eq(2)

\frac{dA}{dt} = 2 \pi a \frac{(r-h)(1.5)}{a}

simplify,

\frac{dA}{dt} = 3 \pi (r-h)

This is the rate of change of area, this is being asked in the quesiton!

Finally, we can put our known values:

r = 5cm

h = 2cm from the question

\frac{dA}{dt} = 3 \pi (5-2)

\frac{dA}{dt} = 9 \pi cm/s// or//\frac{dA}{dt} = 28.27 cm/s

5 0
2 years ago
In how many ways can a designer chose from 3 summer dresses,2 purses, a hat, 3 scarfs, 2 belts if she chooses one of each?
butalik [34]

Answer:

I'm pretty sure it's 32

Step-by-step explanation:

hope this helpsb

4 0
3 years ago
Given that line i is perpendicular to plane B, line i is the only line perpendicular to plane B through point V.
nignag [31]

Answer:

Wait what are u asking?

Step-by-step explanation:

6 0
3 years ago
Identify the similar triangles
Dafna1 [17]

Answer:

QTS=STQ=STR

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Simplify using long division. (Remember to show all your work.)
    8·1 answer
  • Need help with number 1 please show steps too please Thank you
    11·1 answer
  • Generate a plan and describe the steps needed to solve the equation. 34 = –(m + 3)
    11·2 answers
  • 78×13-8×78+26×78-78=
    10·2 answers
  • Item 12
    5·1 answer
  • X^2 -10x = 8 solve show work
    13·2 answers
  • How are ionic and covalent bonds similar
    11·2 answers
  • Find the number that completes each of the following proportions: a.8120=4c b.n0.5=0.71 c.8x=23 d. 7:6=k:120
    8·1 answer
  • Answer this question fast with steps and I'll mark brilliantest​
    14·1 answer
  • Which pair of angles are congruent?<br><br> A. 4 and 5<br> B. 1 and 7<br> C. 2 and 5<br> D. 6 and 8
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!