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
Mashcka [7]
3 years ago
15

The community Relief Charity Group is earning 2.5% simple interest on the $2200 it invested in a savings account. It also earns

4.6% simple interest on an insured bond fund. The annual interest earned from both accounts is $308. How much is invested in the insured bond fund?
Mathematics
1 answer:
Over [174]3 years ago
7 0

Answer:

$5,500 was invested in the insured bond fund

Step-by-step explanation:

First, let us calculate the interest earned on savings account

Simple interest = principal × rate × time

where:

principal = $2,200

rate = 2.5% = 2.5/100 = 0.025

time = 1 year

∴ simple interest = 2200 × 0.025 × 1 = $55

Total annual interest earned = interest earned from savings account + interests earned on insured bond fund = $308

∴ 308 = 55 + interests earned on insured bond fund

∴ interests earned on insured bond fund = 308 - 55 = $253

Finally, we know the simple interest earned on insured bond fund, the amount invested (principal) is calculated as follows:

simple interest = principal × rate × time

where:

simple interest = $253

rate = 4.6% = 0.046

time = 1 year

∴  253 = principal × 0.046 × 1

253 = principal × 0.046

∴principal = 253 ÷ 0.046 = 5500

Therefore $5,500 was invested in the insured bond fund

You might be interested in
Please help!!!! Tell me whether it’s a equation or not pleasr
goldfiish [28.3K]
This answer is a equation, my teacher told me this
3 0
3 years ago
Convert this number given in standard form into scientific notation. 0. 0000069 What is the value in scientific notation? 0. 69
Len [333]

Scientific notation is used so that the order of the number is known in first glance. The value of the given number in scientific notation is given by: Option B: 6.9 \times 10^{-6}

<h3>How does scientific notations work?</h3>

The number is written in the form a \times 10^b where we have 1 \leq a < 10

The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).

Scientific notations have some of the profits as:

  • Better readability due to compact representation
  • Its value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.


For the given case, the number in consideration is 0.0000069

Rewriting it in fraction form, we get:

0.0000069  = \dfrac{69}{10000000} = \dfrac{69}{10^7} = 69 \times 10^{-7} = 6.9 \times 10 \times 10^{-7}\\\\0.0000069  =  6.9 \time 10 ^{-7 +1} \\0.0000069  = 6.9\times 10^{-6}

(we used two facts: first that : \dfrac{a}{b} = a \times \dfrac{1}{b}

and second that: a^{-b}= \dfrac{1}{a^b}

Thus, the value of the given number in scientific notation is given by: Option B: 6.9 \times 10^{-6}

Learn more about scientific notations here:

brainly.com/question/3112062

8 0
3 years ago
What is 12 1/4`÷7/8
Sidana [21]

Answer:

14

Divide

12 and 1 over 412

1

4

÷ 7 over 8

7

8

= 392 over 28

392

28

Step 1 of 2: Divide, sub-step a: Convert mixed number to improper fraction.

Convert mixed number to improper fraction

12 and 1 over 412

1

4

= ( 12 × 4 ) over 4

12 × 4

4

+ 1 over 4

1

4

= ( 48 + 1 ) over 4

48 + 1

4

= 49 over 4

49

4

Step 1 of 2: Divide, sub-step b: Divide.

Divide

49 over 4

49

4

÷ 7 over 8

7

8

= 49 over 4

49

4

× 8 over 7

8

7

= ( 49 × 8 ) over ( 4 × 7 )

49 × 8

4 × 7

= 392 over 28

392

28

To divide fractions, invert the second one (turn it upside-down), then multiply the numerators and denominators.Divide

12 and 1 over 412

1

4

÷ 7 over 8

7

8

= 392 over 28

392

28

Step 1 of 2: Divide, sub-step a: Convert mixed number to improper fraction.

Convert mixed number to improper fraction

12 and 1 over 412

1

4

= ( 12 × 4 ) over 4

12 × 4

4

+ 1 over 4

1

4

= ( 48 + 1 ) over 4

48 + 1

4

= 49 over 4

49

4

Step 1 of 2: Divide, sub-step b: Divide.

Divide

49 over 4

49

4

÷ 7 over 8

7

8

= 49 over 4

49

4

× 8 over 7

8

7

= ( 49 × 8 ) over ( 4 × 7 )

49 × 8

4 × 7

= 392 over 28

392

28

To divide fractions, invert the second one (turn it upside-down), then multiply the numerators and denominators.

4 0
3 years ago
How to solve y-b/x=m for y
Slav-nsk [51]
To solve for m we want to get m by itself on one side of the equals sign, with everything else on the other side. First we subtract b from both sides, to get it out of the right side of the equation:
y - b = mx + b - b
y - b = mx
Now we divide both sides by x, to get m completely by itself:
(y-b)/x = (mx)/x
(y-b)/x = m
So m is equal to (y-b)/x.
8 0
3 years ago
Read 2 more answers
Jason agreed to make 12 payments of $38.50 to buy a new TV so far he has made Seven payments how much more money does Jason owe
Stolb23 [73]

Answer:

$192.50

Step-by-step explanation:

12*38.50=462

7*38.50=269.5

462-269.50=192.50

8 0
3 years ago
Other questions:
  • Is 39 a prime or composite number
    8·2 answers
  • 5: Answer the questions completely: Jordan has a new puppy. She wants to put a fence around part of her yard to cover an area of
    12·1 answer
  • Can concrete blocks be weighed with food scales
    8·2 answers
  • How to solve -6x-5y=18<br> -5×+2y=22
    6·1 answer
  • 31.24 to 1 decimal place
    15·1 answer
  • A construction company uses the function f(x), where x is the number of people working on a project, to model the amount of mone
    15·2 answers
  • If my radius is 24 in and my circumference is 48 cm what is my diameter?
    11·2 answers
  • 6lbs of apples for 33.60
    14·1 answer
  • Can someone pls help me out on the middle one pls ?:(
    7·1 answer
  • Is it correct way? answer in the picture​
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!