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
GalinKa [24]
3 years ago
6

Loan Amount: $13,000 Method of payment: discount basis Amount of Interest: $625 Term of loan: 1 year Effective Rate of Interest

(to the nearest tenth) = _____. 4.8 5.1 20.8 57.7
Mathematics
1 answer:
Gekata [30.6K]3 years ago
3 0
<span>Loan Amount: $13,000
Method of payment: discount basis
Amount of Interest: $625
</span><span> Term of loan: 1 year
</span>
∴ Rate if interest = \frac{Amount \ of \ Interest}{Loan \ Amount} *100
Rate =  \frac{625}{13,000} *100 = \framebox {4.8 \%}

So, the correct answer is option (1) 4.8
<span />
You might be interested in
The area of a rectangle is 20 square meters. How long is the length, if the width is 4 meters?
Brums [2.3K]

To find, the length, divide the area by the width:

Length = 20 / 4 = 5 meters.

4 0
3 years ago
For the following telescoping series, find a formula for the nth term of the sequence of partial sums {Sn}. Then evaluate limn→[
Ivenika [448]

Answer:

The following are the solution to the given points:

Step-by-step explanation:

Given value:

1) \sum ^{\infty}_{k = 1} \frac{1}{k+1} - \frac{1}{k+2}\\\\2) \sum ^{\infty}_{k = 1} \frac{1}{(k+6)(k+7)}

Solve point 1 that is \sum ^{\infty}_{k = 1} \frac{1}{k+1} - \frac{1}{k+2}\\\\:

when,

k= 1 \to  s_1 = \frac{1}{1+1} - \frac{1}{1+2}\\\\

                  = \frac{1}{2} - \frac{1}{3}\\\\

k= 2 \to  s_2 = \frac{1}{2+1} - \frac{1}{2+2}\\\\

                  = \frac{1}{3} - \frac{1}{4}\\\\

k= 3 \to  s_3 = \frac{1}{3+1} - \frac{1}{3+2}\\\\

                  = \frac{1}{4} - \frac{1}{5}\\\\

k= n^  \to  s_n = \frac{1}{n+1} - \frac{1}{n+2}\\\\

Calculate the sum (S=s_1+s_2+s_3+......+s_n)

S=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+.....\frac{1}{n+1}-\frac{1}{n+2}\\\\

   =\frac{1}{2}-\frac{1}{5}+\frac{1}{n+1}-\frac{1}{n+2}\\\\

When s_n \ \ dt_{n \to 0}

=\frac{1}{2}-\frac{1}{5}+\frac{1}{0+1}-\frac{1}{0+2}\\\\=\frac{1}{2}-\frac{1}{5}+\frac{1}{1}-\frac{1}{2}\\\\= 1 -\frac{1}{5}\\\\= \frac{5-1}{5}\\\\= \frac{4}{5}\\\\

\boxed{\text{In point 1:} \sum ^{\infty}_{k = 1} \frac{1}{k+1} - \frac{1}{k+2} =\frac{4}{5}}

In point 2: \sum ^{\infty}_{k = 1} \frac{1}{(k+6)(k+7)}

when,

k= 1 \to  s_1 = \frac{1}{(1+6)(1+7)}\\\\

                  = \frac{1}{7 \times 8}\\\\= \frac{1}{56}

k= 2 \to  s_1 = \frac{1}{(2+6)(2+7)}\\\\

                  = \frac{1}{8 \times 9}\\\\= \frac{1}{72}

k= 3 \to  s_1 = \frac{1}{(3+6)(3+7)}\\\\

                  = \frac{1}{9 \times 10} \\\\ = \frac{1}{90}\\\\

k= n^  \to  s_n = \frac{1}{(n+6)(n+7)}\\\\

calculate the sum:S= s_1+s_2+s_3+s_n\\

S= \frac{1}{56}+\frac{1}{72}+\frac{1}{90}....+\frac{1}{(n+6)(n+7)}\\\\

when s_n \ \ dt_{n \to 0}

S= \frac{1}{56}+\frac{1}{72}+\frac{1}{90}....+\frac{1}{(0+6)(0+7)}\\\\= \frac{1}{56}+\frac{1}{72}+\frac{1}{90}....+\frac{1}{6 \times 7}\\\\= \frac{1}{56}+\frac{1}{72}+\frac{1}{90}+\frac{1}{42}\\\\=\frac{45+35+28+60}{2520}\\\\=\frac{168}{2520}\\\\=0.066

\boxed{\text{In point 2:} \sum ^{\infty}_{k = 1} \frac{1}{(n+6)(n+7)} = 0.066}

8 0
3 years ago
Find the equation of a line that passes through the points (4,0) and (2,4).
Ksju [112]

Answer:

answer is y=-2x+8 is the eq of given line

3 0
2 years ago
E Which could be the dimensions of a rectangular prism whose surface area is greater than 140 square feet? Select three options.
kozerog [31]

Answer:

6feet by 5feet by 4feet

7feet by 6feet by 4feet

8feet by 3feet by 7feet

7 0
2 years ago
Dawn simplified a power correctly and came up with a value of 64.
abruzzese [7]

Answer:

Hello fellow brainlian, I am pretty sure the answer is A)

Step-by-step explanation:

Have a Totally Horse-some Day!

                 With love,

                       -The one and only Alaska

4 0
3 years ago
Read 2 more answers
Other questions:
  • The cost, c, of a ham sandwich at a deli varies directly with the number of sandwiches, n. If c = $54 when n is 9, what is the c
    11·2 answers
  • What is 1/2x=-1/4y+2 in standard form
    12·1 answer
  • Determine which graph represents a reflection across the x-axis of f(x) = 3(1.5)x.
    12·2 answers
  • A jewelry store marked up the price of its well-known necklace. The new price of the necklace is $250, which is 125% of the orig
    11·2 answers
  • A statement which checks to see if the value of the expression on the left side is the same as the value of the expression on th
    12·1 answer
  • Checking granddaughter homework not very good with math
    11·1 answer
  • the product of 2 consecutive integers is 5 more than the square of the smaller integer.What is the value of the smaller integer?
    13·1 answer
  • One bag of alice's trail mix contains 40 grams of almonds and 30 grams of raisins.
    11·1 answer
  • Can someone please answer this, ill give you brainliest Would be very appreciated.
    7·2 answers
  • Anya graphed the line (y−2)=3(x−1) on the coordinate grid.
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!