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kondor19780726 [428]
3 years ago
5

Fran deposited 4869 into a savings account that pays simple annual interest rate of 3.25% how much interest will she earn after

30 months. SHOW THE WORK
What is y when x=30 show the work
Mathematics
1 answer:
Whitepunk [10]3 years ago
8 0

Answer:

$395.61

Step-by-step explanation:

The formula for simple interest is:

i=Prt

Where

i is the interest amount

P is the principal amount

r is the rate of interest per time period

t is the time period

Here,

P = 4869

we want to find after 30 months, that converted to years is:

30/12 = 2.5 years

t = 2.5

The annual rate is 3.25% = 0.0325

Now, substituting, we find our answer:

i=Prt\\i=(4869)(0.0325)(2.5)\\i=395.61

The interest earned is <u>$395.61</u>

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a person invested $6700 for one year, part at 8%, part at 10%, and the remainder at 12%. the total annual income from these inve
lukranit [14]

Answer:

The amount invested at 8% rate is $1,200

The amount invested at 10% rate is $2,000

The amount invested at 12% rate is $3,500

Step-by-step explanation:

step 1

Let

x-----> the amount invested at 8% rate

y-----> the amount invested at 10% rate

z-----> the amount invested at 12% rate

z=(x+y)+300 ----> equation A

x+y+z=6,700 ----> equation B

substitute equation A in equation B

x+y+(x+y+300)=6,700

2x+2y=6,400

x+y=3,200 -----> equation C

we know that

The simple interest formula is equal to

I=P(rt)

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=1\ year\\ P=\$6,700\\ I=\$716

substitute in the formula above

716=x(0.08)+y(0.10)+z(0.12)

substitute equation A

716=x(0.08)+y(0.10)+(x+y+300)(0.12)

716=0.08x+0.10y+0.12x+0.12y+36

716=0.20x+0.22y+36

0.20x+0.22y=680  -----> equation D

step 2

Solve the system of equations

x+y=3,200 -----> equation C

0.20x+0.22y=680  -----> equation D

Solve the system by graphing

The solution is the point (1,200,2,000)

see the attached figure

Find the value of z

z=(x+y)+300

z=(1,200+2,000)+300=3.500

therefore

The amount invested at 8% rate is $1,200

The amount invested at 10% rate is $2,000

The amount invested at 12% rate is $3,500

8 0
4 years ago
If Δ ABC = Δ DEF, which one of these is a pair of corresponding parts?<br> CB and ED<br> AC and DF
Radda [10]

Answer:

AC and DF

Step-by-step explanation:

Corresponding sides as well as corresponding angles have a pair of same angles or sides that are in the same place in two different shapes that are similar.

Find attached the diagram used for solving the question

Since Δ ABC = Δ DEF

∠B corresponds to ∠E

∠A corresponds to ∠D

∠C corresponds to ∠F

As a result of the above:

Line AB corresponds to line DE

Line AC corresponds to line DF

Line BC corresponds to line EF

Therefore, if Δ ABC = Δ DEF, one of the pair of corresponding parts would be AC and DF.

5 0
3 years ago
What is the circumference of this circle? Show work please. The number is 12cm btw if you can't read it.
Mkey [24]

Answer:

The image isnt loaded is there any way you can post it agian

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Convert the decimal, 2.55, into an improper fraction
laiz [17]

Answer:2.55 in fraction form is 51/20.

Step-by-step explanation:

5 0
3 years ago
Check all that apply.<br> x2 + 4x - 9 = 5x + 3
kakasveta [241]

Answer:

The solution set is (-3, 4).

Step-by-step explanation:

x2 + 4x - 9 = 5x + 3

x^2 + 4x - 5x - 9 - 3 = 0

x^2 -x - 12 = 0

(x - 4)(x + 3) = 0

x = -3, 4.

8 0
4 years ago
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