Given:
Total invested amount = $5400
Rate of interest for first account = 14%
Rate of interest for second account = 6%
Total interest after one year = $580
To find:
The amount invested in each account.
Solution:
Let the amount invested in the first account be $x, then the amount invested in the second account is $(5400-x).
Total interest = 14% of $x + 6% of $(5400-x).
[tex]580=\dfrac{14}{100}x+\dfrac{6}{100}(5400-x)[/tex]
Multiply both sides by 100.
[tex]58000=14x+6(5400-x)[/tex]
[tex]58000=14x+32400-6x[/tex]
[tex]58000-32400=8x[/tex]
[tex]25600=8x[/tex]
Divide both sides by 8.
[tex]\dfrac{25600}{8}=x[/tex]
[tex]3200=x[/tex]
Now,
[tex]5400-x=5400-3200[/tex]
[tex]5400-x=2200[/tex]
Therefore, the amount invested in first account is $3200 and the amount invested in the second account is $2200.
Enter your answer in the box.
Find the value of the expression 4d - C + 3 when c = 3 and
d = 6.
Answer:
4d - c + 3
4(6) - 3 + 3
24 - 3 + 3
24
Step-by-step explanation:
24
Hope this helps :T
Luke's answer makes sense or is nonsense.His model is correct or incorrect. There are [blank] not 3 inches, in a foot.
A headband design calls for 1/5 yard of fabric. If Elizabeth has 3 yards of fabric, how many headbands can she make.
pls help i dont get it much
Answer:
Fraction Decimal Percent
111/250 = 0.444 = 44.4%
5/100 = 0.05 = 5%
2/3 = 0.66 = 666%
What is the solution to the inequality 7x + 2 < 3x + 1?
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Answer:
x < -1/4
Step-by-step explanation:
7x + 2 < 3x + 1
4x + 2 < 1
4x < -1
x < -1/4
Hudson is going to invest $320 and leave it in an account for 9 years. Assuming the
interest is compounded monthly, what interest rate, to the nearest tenth of a percent,
would be required in order for Hudson to end up with $540?
Answer:
5.8
Step-by-step explanation:
The interest rate, to the nearest tenth of a percent, will be 0.05828.
How do you determine the amount of compound interest?If the principal amount is P, the interest rate is R percent per unit time, and the compound interest is left for T units of time, the interest amount gained is:
[tex]\rm CI = P\left(1 +\dfrac{R}{100}\right)^T - P[/tex]
The total is:
[tex]\rm A = CI + PA = P(1 +\dfrac{R}{ 100})T[/tex]
The amount is found as;
[tex]\rm A = P(1+\frac{r}{n})^{nt}\\\\ 540=320 (1+\frac{r}{12} )^{12\times 9}\\\\ (1+\frac{r}{12})^{108}=\frac{540}{320}\\\\ 1+\frac{r}{12}=(\frac{540}{320})^{\frac{14}{108}[/tex]
[tex]\rm 1+ \frac{r}{12}=1.00486\\\\ \frac{r}{12}=0.00486\\\\ r=12 \times 0.0486 \\\\ r=0.05828[/tex]
Hence, the interest rate, to the nearest tenth of a percent, will be 0.05828.
To learn more about compound interest, refer:
https://brainly.com/question/11897800
#SPJ2
Please help and I’ll mark brain list!
Answer:
y = 6
Step-by-step explanation:
Answer:
Y = 6Step-by-step explanation:
5y + 1 = 31 -1 -1 [tex]\frac{5y}{5y}[/tex] = [tex]\frac{30}{5y}[/tex] Y = 6Given the function h(x) = 2.25x, find h(2)
Answer:
h(2)= 4.5
Step-by-step explanation:
h(x)=2.25x
h(2)=2.25(2)
= 4.5
Answer:
Hi! The answer to your question is 4.5
Step-by-step explanation:
To find h(2) we just have to find x in the equation and replace it with a 2
h(x)=2.25(2)
h(x)=2.25(2)=4.5
※※※※※※※※※※※※
⁅Brainliest is greatly appreciated!⁆
- Brooklynn Deka
Hope this helps!!
The length of a rectangular garden is 12 ft longer than the width, w. If the garden has a perimeter of 76 ft. Determine the length and width of the garden.
Step-by-step explanation:
length = l
width = w
perimeter of garden = 76 ft
perimeter = 2l + 2w
2l + 2w = 76 (eqn 1)
l - w = 12 (eqn 2)
(eqn 1) ÷ 2
l + w = 38 (eqn 3)
(eqn 2) + (eqn 3)
2l = 50
2l/2 = 50/2
l = 25
The length of the garden is 25 ft.
Substitute l = 25 into (eqn 3)
l + w = 38
25 + w = 38
w = 38 - 25
w = 13
The width of the garden is 13 ft.
complete the inequality statement
4/13 __6/13
What is the equation of the circle shown in the graph?
6 9 12 36
Help me pls I need a good grade
Answer: 226
Step-by-step explanation:
arc ZW is 180 (it is a semi Circle) and arc WX is 46 (the angle opposite the arc)
so arc ZWX is 180+46=226
Please help answer !:)
Will give brainlst!!
Have a nice day
Answer:
6) .000000947
7) 244000000
8) .076
I BEG FOR MY LIFE EZ PLS
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Answer:
B and D
Step-by-step explanation:
This is because for B you do 8x9x1 which is basically 8x9 which is 72. Then, for D you do 12x3x2. Do 3x2 first and you get 6. Then, do 6x12 which is also 72. So the correct answers that will give you the volume of 72 units cube is B and D. Hope this helps!
Solve x + 19 = 47.
Select one:
x = 893
x = 66
x = 28
x = 18
the answer is 28 hoped that helped
Answer:
x=28 (B)
Step-by-step explanation:
x = 28 (B)
You need to subtract 19 from both sides to get 28.
Help please !! need it asap
Answer:
AB = 6
m∠F = 70°
Step-by-step explanation:
1.) This is isosceles, from the angles you can tell
2.) Angles F and D are equal, this is also a form of isosceles
180-40 = 140
140/2 = 70
What is 15.74 rounded to the nearest whole number?( no links or files plz will get a brainliest)
Answer:
16
Step-by-step explanation:
Edit: Lol I learned this a while ago but imagine a ladder 5 or more goes up for sure 4 or less let it rest. Meaning anything over 5 goes up to the next digit and anything lower like 4 stays on that number
Answer:
16.
15.74 is closer to 16 than 15
In August an online store sold 213 graphing calculators during their back to school sale. Since then, sales have increased at a rate of 5% each month. Which function can be used to determine the monthly calculator sales sine August?
Answer:
[tex]y = 213 + 0.05x[/tex]
Step-by-step explanation:
Given
[tex]Initial = 213[/tex]
[tex]Rate = 5\%[/tex]
The equation to o this is:
[tex]y = intial +rate * weeks[/tex]
[tex]y = 213 + 0.05x[/tex]
Find the measure of 44.
s
24
158°
ts
64 = [?]
Answer:
∠4 = 22
Step-by-step explanation:
Hello There!
The angles shown are consecutive interior angles
If you didn't know consecutive interior angles are supplementary angles meaning that the sum of the two angles is 180
So we can find the missing angle by subtracting the given angle (158 in this case) from 180
180 - 158 = 22
so we can conclude that ∠4 = 22
180.timr3fzgncvdfccfxdfdxxfhk
180-158=22
the measure is 44
Factor the expression
10x + 25
A. 2(5x + 10)
B. 5(2x + 5)
C. 10(x + 5)
D. 5(2x + 25)
Answer:
B. 5(2x+5)
Step-by-step explanation:
Factor 5 out of 10x+25. and you get 5(2x+5)
Answer:
B. 5(2x + 5
Step-by-step explanation:
If you have any questions feel free to ask in the comments
Dimensions of a building are 728 feet by 800 feet. If 1 inch represents 8 feet, what are the dimensions of the building on the drawing?
Answer:
91in by 100in
Step-by-step explanation:
Ilia brought pizza home for dinner. Ilia ate 1/4 of the pizza. His friend ate 1/3 of the pizza. How much was left for Ilia.
Answer:
5/12 of the pizza was leftgot Lila
Step-by-step explanation:
Well Lila ate 1/4 already and his freind ate 1/3
1/4+1/3
3/12+4/12
7/12
The whole pizza is gonna be 1 since a whole pizza
1-7/12
that would be 5/12
Answer:
5/12
Step-by-step explanation:
1/4 + 1/3 + x = 1
7/12 + x = 1
7/12 - 7/12 + x = 1 - 7/12
x = 5/12
A researcher calculated sample proportions from two independent random samples. Assuming all conditions for inference are met, which of the following is the best method for the researcher to use to estimate the true difference between the population proportions?
Answer:
A) Construct a two-sample z -interval for the difference between population proportions.
How to show work on this one topic is angles formed by 2 chords and secants
Answer:
Step-by-step explanation:
Sara and Atil ate the same number of cookies for lunch. However, Sara ate half of all
the cookies that her mom gave her, and Atil ate one-third of all the cookies that his
mom gave him. If til's mom gave him 2 more cookies than Sara's mom gave to Sara,
how many cookies did each of the kids eat?
Answer:
Sarah ate 2, atil ate 2
Step-by-step explanation:
The total number of cookie Sara got = y
Atill got 2 more than Sara so his total cookies is = 2+y
Sarah ate half if hers = y/2
Atil ate 1/3 of his = 2+y/3
We have
Y/2 = 2+y/3
Then we cross multiply
3y = 2(2+y)
3y = 4 + 2y
3y - 2y = 4
Y = 4
Since y = 4,
Sara ate 4/2 cookies = 2
Then atil ate 2+4/3 = 6/3 = 2 cookies
How many cards are in a standard deck of cards? What are their colors?
Answer:
A standard deck of cards consists of 52 cards. The colors are usually black for the spades and clubs and red for the hearts and diamonds.
Step-by-step explanation:
Answer:
There are 52 cards which are either red or black
Step-by-step explanation:
ASAP ! The radius of a circle is 12 ft.
8.37 ft?
480
12 ft
28.72 ft
100.48 ft
What is the area of a sector bounded by an 80° arc? (use 3.14 for 1)
16.75 ft
Answer:
Area of sector bounded by angle = 100.37 ft² (Approx.)
Step-by-step explanation:
Given:
Radius of a circle = 12 feet
Arc angle θ = 80°
Find:
Area of sector bounded by angle
Computation:
Area of sector bounded by angle = [θ/360][πr²]
Area of sector bounded by angle = [80/360][(3.14)(12)²]
Area of sector bounded by angle =[0.22][(3.14)(144)]
Area of sector bounded by angle = [0.22][452.16]
Area of sector bounded by angle = 100.37 ft² (Approx.)
A bag contains 7 blue, 4 yellow, and 9 purple marbles.
What is the probability of P(not blue) written as a fraction?
Answer:
13/20
Step-by-step explanation:
you count up all the marbles together, which is 20 and then count up all the other marbles besides blue, which would be 13 of the 20 marbles are not blue
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
geometry multiple choice
(will mark brainliest)
Answer:
The opposite angles of a quadrilateral inscribed in a circle are supplementary.
Step-by-step explanation:
Geometry Fact: the opposite angles in a quadrilateral inscribed in a circle are supplementary (i.e., the sum of the opposite angles is equal to 180˚.).
