Kiara invested $3,500 into two accounts. One account paid 5% interest and the other paid 7.5% interest. She earned 6%
interest on the total investment. How much money did she put in each account?
Answer:
A=$2100
B=$1400
Step-by-step explanation:
3500*1.06=3710
a+b=3500
1.05a+1.075b=3710
1.05a+1.05b=3675
1.05a+1.075b=3710
Subtract 1.05a+1.05b=3675 from 1.05a+1.075b=3710
0.025b=35
b=1400
a=3500-1400=2100
Double check: (2100*1.05)+(1400*1.075)=3710
3500*1.06=3710
The amount invested in the account that pays a 5% interest is $2100 and the amount invested in the account that pays a 7.5% interest is $1400.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
0.05a + 0.075b = (0.06 x $3500)
0.05a + 0.075b = $210 ----- equation 1
a + b = $3,500 -------- equation 2
Where:
a is the amount invested in the account that paid a 5% interest.
b is the amount invested in the account that paid a 7.5% interest.
The amount invested in the account that pays a 7.5% interest.
In order to determine this value, multiply equation 2 by 0.05
0.05a + 0.05b = 175 ------- equation 3
0.025b = 35
b = $1400
The amount invested in the account that pays a 5% interest.
a + $1400 = $3500
a = $3500 - 1400
a = $2100
Therefore, The amount invested in the account that pays a 5% interest is $2100 and the amount invested in the account that pays a 7.5% interest is $1400.
Learn more about equations here;
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726 ÷3 use place value disks
Answer:
242
Step-by-step explanation:726 divid by 3 is 242
What is the vertex of:
y=x^2+10x+26
Answer:
the vertex is (-5,1)
Step-by-step explanation:
hoped I helped:)
4 2/3 divided by 3 3/4
Answer:
56/45 or 1 11/45
Step-by-step explanation:
change to improper fractions and multiply the first by the reciprocal of the second
[tex]\frac{14}{3}[/tex] ÷ [tex]\frac{15}{4}[/tex] = [tex]\frac{14}{3}[/tex] · [tex]\frac{4}{15}[/tex] = [tex]\frac{56}{45}[/tex]
45 goes into 56 1 time with a remainder of 11
Answer:
56 /33 Decimal: 1.69697)
Step-by-step explanation:
hope it helps
is this the question
I can barely see the question
find the area and perimiter of the figure, given that AB is a semi-circle that has the length 24 π cm
Answer:
Perimeter ≈ 61.68, Area ≈ 226.08
Step-by-step explanation:
The original equations for a regular circle are as follows:
Circumference = 2πr
Area = πr^2
With these in mind, let us continue. We must first find the Circumference and Area of a circle with this radius. To do this we plug in the radius which we can derive from taking the length of the semi-circle. Dividing 24/2 will give us 12 which is the radius. Evaluating both equations with r = 12 and π = 3.14 will give us Area = 452.16 and Circumference = 75.36. Great, we now have the values we need. However, this is for a full circle, and we are trying to solve for a semi-circle. To resolve this, all we have to do is divide the Area by 2 and that will give us half of that circle (the semi-circle). For the Circumference, we divide by 2 as well, but we also must add the diameter which is 24 giving us 226.08, and 61.68 respectively.
A phone company is offering several different prepaid data plans.
Prepaid Single Phone Plan⠀⠀⠀⠀⠀Prepaid Family Plan
$30 for 1 GB⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀$30 for 1 GB
$35 for 6 GB⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀$40 for 6 GB
$45 for 16 GB⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀$50 for 16 GB
$65 for Unlimited Data⠀⠀⠀⠀⠀⠀⠀$70 for Unlimited Data
Which of the following deals has the cheapest price per GB?
A. Prepaid Family Plan 1 Person $50 for 16 GB
B. Prepaid Single Phone Plan $45 for 16 GB
C. Prepaid Single Phone Plan $35 for 6 GB
D. Prepaid Family Plan 1 Person $30 for 1 GB
Answer:
i dont know HI its Prepaid Single Phone Plan $45 for 16 GB
Answer:
Prepaid Single Phone Plan $45 for 16 GB
Step-by-step explanation:
A farmer wants to estimate the average growth in height of his corn plants over a two-week period. Of his 5,000 plants, 1,500 are on plots where he grew corn last year, 3,000 are on plots where he grew soybeans last year, and 500 are plots where nothing but grass grew last year. The farmer wants to use a stratified sample of 200 plants based on what grew on the plots the year before. How many plants from plots where he grew corn last year should be included in his sample? Enter a whole number.
Answer:
60
Step-by-step explanation:
Given that :
Total crop on corn plot = 1500
Total on soya bean plot = 3000
Total on grass plot = 500
Total plants = 5000
A Stratified sample of 200 corn plants is to be selected ;
Number of samples he takes from each plot:
Percentage of number of samples :
x% of 5000 = 200
0.01x * 5000 = 200
50x = 200
x = 200/50
x = 4%
Hence, number of plants to be selected from corn plot :
4% of 1500
0.04 * 1500
= 60
DETERMINA EL VOLUMEN DE UN PRISMA PENTAGONAL QUE TIENE LAS SIGUIENTES MEDIDAS: LADO 6.1 CM, APOTEMA 4.5, ALTURA 12.5CM DEL PRISMA
Answer:
837.23 cm³
Step-by-step explanation:
La fórmula para el volumen de un prisma pentagonal se da como:
1/2 (5 s × a) × h
Dónde:
s = longitud lateral
a = Apotema
h = altura
De la pregunta anterior:
s = largo de lado = 6.1 cm
a = Apotema = 4.5 cm
h = Altura = 12.5 cm
Por lo tanto:
El volumen del prisma pentagonal =
1/2 (5 × 6.1 × 4.5) × 12.5
= 1/2 × 137.25 × 12.5
= 837.225 cm³
Aproximadamente = 837.23 cm³
students are trying to raise 250 for the track club. they have already made $50. how much do they need to earn to meet their goal?
Answer:
$200
Step-by-step explanation:
Answer:
$200
Step-by-step explanation:
$250 - $50 = $200
write the equivalent expression to x-3y+7
ILL MARK BRAINLIEST
Answer:
2x-6y+14
This expression will simplify back to x-3y+7
Answer:
y= 1/3x-7/3
Step-by-step explanation:
We have: x-3y+7
There are many equivalent expressions we can create, but let's write this equation in slope- intercept form.
First step is to rearrange the terms: -3y=-x+7
But we are not done yet; now we divide both sides with -3: y=1/3x-7/3
(The negatives cancel out, which is why we get a positive 1/3)
i giveeeee brainlilsttttt
Answer:
H maybe
Step-by-step explanation:
Answer:
rrrrrrrrrrrrrrrrergergrgrg
Step-by-step explanation:
rgrgrgrgregr
wdd
piuoliuylili
A quadrilateral has two angles that measure 190° and 10°. The other two angles are in a ratio of 3:5. What are the measures of those two angles?
Answer:
60 degrees and 100 degrees
Step-by-step explanation:
360 - (190 + 10) = sum of other two angles
360 - 200 = 160
160/(3+5) = 160/8 = 20
20 × 3 = 60 degrees, 20 × 5 = 100 degrees
Plot A shows the number of hours ten girls watched television over a one-week period. Plot B shows the number of
hours ten boys watched television over the same period of time.
Television Viewing Hours for a One-Week Period
Plot A
O
0 1 2 3 4 5 6 7
8
9 10
Plot B
0 1
2
3 4 5
7
8 9 10
Which statement compares the shape of the dot plots?
Mark this and return
Save and Exit
Sun
Answer:
I think its B
Step-by-step explanation:
Change the following mixed expressions to fractions and then simplify the complex fractions.
xy-4x^5/x^2-xy
Answer:
X=2
Step-by-step explanation:
The Boyle family drove at an average speed of 60 miles per hour. They drove for 4 hours. How far did the Boyle family drive?
A
15 miles
B
56 miles
C
64 miles
D
240 miles
Answer:
D - 240 miles
Step-by-step explanation:
. because if you if you multiply 60 x 4 it would be 240.
Please help!!
A jar contains 30 red marbles, 50 blue marbles, and 20 white marbles. You choose one marble from the jar at random. What is the theoretical probability of choosing a red marble?
Answer:
you have a 1/5 chance of choosing a red marble.
Step-by-step explanation:
Answer:
Your probability of choosing a red marble is 30%
Step-by-step explanation:
You'll need to start by adding all the marble's which will give you 100.
30 + 50 + 20 = 100
Then add up the non-red marbles, which is 70.
50 + 20 = 70
30 red marbles are left.
Now, you'll have the fraction 30 over 100.
As a percentage that would be 30%
Consider the directed line segment from M(2,7) to (10,-4) points A,R and K are on MS
Answer:
Step-by-step explanation:
Input Data :
Point 1
(
x
A
,
y
A
)
= (0, 2)
Point 2
(
x
B
,
y
B
)
= (8, 8)
Objective :
Find what is a midpoint of a line segment?
Solution :
Midpoint
(
x
M
,
y
M
)
=
(
x
A
+
x
B
2
,
y
A
+
y
B
2
)
=
(
0
+
8
2
,
2
+
8
2
)
=
(
8
2
,
10
2
)
Midpoint of a line segment
(
x
M
,
y
M
)
= (4, 5)
hope that help
mark me brill
Find the value of x in the triangle shown
__+5=-2 Solve to get your answer
Answer:
-7
Step-by-step explanation:
-2 - 5 is -7
Answer:
-7
Step-by-step explanation:
?+5=-2
-5 -5
?=-7
What is the prime factorization of 75?
Answer:
3 5^2
Step-by-step explanation:
it is 3 5^2 be cause if you do 3 x 25 or 5 x 15 or 1 x 75 that would =75
write a comparison using to show the relationship between 2/3 and 5/6
Answer:
2/3<5/6
Step-by-step explanation:
The least common denominator (LCD) is: 6.
4/6 < 5/6
Therefore, comparison shows:
2/3 < 5/6
Please answer this correctly without making mistakes
Answer:
48.5 us cups
Step-by-step explanation:
Answer:
48 cups 4 fluid ounces. (us)
Step-by-step explanation:
How many 1/5(as a fraction) cup servings are in 3 cups of pasta?
Answer:
just do 5x3. there are 15 servings
Step-by-step explanation:
Can anyone awnser this question
John can buy a 8 pencil for 1.25 or a 12 pencil for 2.00 which is the better buy
Answer:
8 pencil for 1.25 because you save more money.
Step-by-step explanation:
Answer:
8 pencils is a better buy
Step-by-step explanation:
at 8 pencils for 1.25, each pencil costs about 16 cents and at 12 pencils for 2.00, each costs about 17 cents
For this item select in the choice matrix by clicking the appropriate boxes in each row
Answer:
[tex](a):\ y = \frac{x + 3}{7}[/tex] --- Function
[tex](b):[/tex] Not a function
[tex](c):[/tex] A function
Step-by-step explanation:
Given
See attachment
Required
Determine if each relation is a relation or not
A function is represented as: [tex]\{(x_1,y_1),(x_2,y_2),(x_3,y_3)...(x_n,y_n)\}[/tex]
Where
[tex]x = domain[/tex] and [tex]y = range[/tex]
For a relation to be a function:
No x value (in other words, the domain) must be repeated
[tex](a):\ y = \frac{x + 3}{7}[/tex]
The above relation is a function. This is so because every unique value of x have a unique value of y.
In other words:
No two domains exist for a range
Conclusively, it is a one-to-one function
[tex](b):[/tex]
[tex]\begin{array}{ccccc}x & {-2} & {-2} & {1} & {3} \ \\ y & {-5} & {-1} & {3} & {7} \ \ \end{array}[/tex]
In the above table, we have:
[tex](x_1,y_1) = (-2,5)[/tex] and [tex](x_2,y_2) = (-2,-1)[/tex]
The domain (-2) points to range (5 and -1).
Based on the condition that no two domain should point to the same range, we can conclude that this is not a function.
[tex](c):[/tex]
[tex]\begin{array}{ccccc}x & {-3} & {-1} & {1} & {3} \ \\ y & {-4} & {-4} & {2} & {2} \ \ \end{array}[/tex]
In the above table, we have the domain to be:
[tex]x = \{-3,-1,1,3\}[/tex]
We can see that no x value is repeated.
Hence, this is a function.
A student club spends $78 to buy candy bars and sells them for $3 each to raise money. Construct an equation that models profit or loss for selling a given number of candy bars.
Answer: 3x - 78
Step-by-step explanation:
Profit or loss is gotten when the cost is subtracted from the revenue. In this situation, the revenue is given as $78.
Let the total number of candy bars bought be x. Since they are sold at $3 each, all the candy bars will cost 2x.
Profit/Loss = Revenue - Cost
= 3x - 78
If we get a negative value, that's a loss and a positive value denotes profit
is a soup bowl a gallon quart pint or cup
Answer:
their are different sizes of soup bowls
Gary is trying to save $60 to buy new parts for his bike. He has saved 45% of
what he needs so far. How much has he saved?
HELP NOW NEED THIS NOW!!!!!!!!
Answer:
Step-by-step explanation:
Gary need 60 dollars, but he saved only 45%
60*(45/100)=27
he saved only 27 dollars
