Answer:
The amounts invested in the account = ¢ 18000
and the amount invested in the stock = ¢40000-¢18000= ¢22000.
Step-by-step explanation:
Given that the account paying 4% interest and the stocks paying 6% interest.
Assuming she put ¢ x in the account, so
Income (interest) from the account = 4% of x = ¢ 0.04x...(i)
She has a total of ¢ 40000 to invest, so the remaining amount = ¢(40000-x).
As she put the remaining amount into stock, so
Income (interest) from the stock=6% of (40000-x)=¢(2400-0.06x)...(ii)
As total income from the investment is ¢ 2040, so on adding both the incomes from equations (i) and (ii), we have
[tex]2040=0.04x + (2400-0.06x) \\\\\Rightarrow 2040=2400 - 0.02x \\\\\Rightarrow 0.02x = 2400-2040=360 \\\\\Rightarrow x = 360/0.02=18000.[/tex]
So, the amount invested in the account = ¢ 18000
and the amount invested in the stock = ¢40000-¢18000= ¢22000.
What is the solution to the equation below?
2(x – 3) = 2x + 5
show your work
Answer:
2(x - 3) = 2x + 5
Multiply out the left side:
2x - 6 = 2x + 5
Subtract 2x from both sides:
-6 = 5
Since this is impossible, this "equation" cannot be solved.
what is 14 2/7 × 4 3/10
Answer:
14 2/7 x 4 3/10 is 61 3/7
Step-by-step explanation:
Mr. Lee deposited $450 into a savings account that earns 5% compound interest, compounded annually for 2 years. What is the total amount that Mr. Lee will have in his account at the end of 2 years?
Answer:
Okay, I've never learned about this before but I want to help and I think I get it. Again, I'm not very sure about this. $472.50
Step-by-step explanation:
I took one percent of 450 and mutiplied that by five to get 22.5
22.5 + 450 = 472.50 making THAT answer.
can someone help me
Answer:
93°
Step-by-step explanation:
90+38= 128. all angles of a triangle always equal 180. so the last angle inside the triangle is 52°. WYZ is a straight line, so 180-52 will get you the measure of the angle in question, which is 93°
Which expression is equivalent to (3b + 2r) + (4b +r)?
A. 7b + 2r
B. 7b + 3r
C. 12b + 2r
D. 12b + 3r
Answer:
7b + 3r
Step-by-step explanation:
=3b+2r+ 4b+r
= 3b + 4b+2r+r
= 7b + 3r
please help i’ll mark brainlest!!!!!
A dress which costs $59.95 has a decrease in price of 21%. Estimate the new price for this dress?
Answer:
46 Dollars
Step-by-step explanation:
New value =
59.95 - Percentage decrease =
59.95 - (21% × 59.95) =
59.95 - 21% × 59.95 =
(1 - 21%) × 59.95 =
(100% - 21%) × 59.95 =
79% × 59.95 =
79 ÷ 100 × 59.95 =
79 × 59.95 ÷ 100 =
4,736.05 ÷ 100 =
47.3605 ≈
47.36
The Sandoval family paid $180 for 2 adult tickets and 3 child tickets to an amusement park. The Martinez family paid $105 for 1 adult and 2 child tickets to the same park. What is the price of a child ticket?
Answer: The cost of a child ticket is $30
Step-by-step explanation:
Let's define the variables:
A = price of an adult ticket
C = price of a child ticket
We know that:
"The Sandoval family paid $180 for 2 adult tickets and 3 child tickets to an amusement park."
This means that:
2*A + 3*C = $180
and
"The Martinez family paid $105 for 1 adult and 2 child tickets to the same park."
This means that:
1*A + 2*C = $105
Then we have a system of equations:
2*A + 3*C = $180
1*A + 2*C = $105
To solve this, the first step is to isolate one variable in one of the equations, i will isolate A in the second equation:
A = $105 - 2*C
Now we can replace this in the other equation:
2*($105 - 2*C) + 3*C = $180
Now let's solve this for C, the price of a child ticket.
2*($105 - 2*C) + 3*C = $180
$210 - 4*C + 3*C = $180
$210 - C = $180
-C = $180 - $210
-C = - $30
C = $30
The cost of a child ticket is $30
In 8 days, the temperature dropped 12 degrees. If the temperature changed at the same rate for all the days what was the change in temperature per day?
Answer:
1.5° per day
Step-by-step explanation:
Given that :
Total temperature change = drop by 12°
Number of days for the change = 8 days
Rate at which temperature changed is constant
Change in temperature per day :
Total change in temperature / number of days
12° / 8
= 1.5° per day
What is the equation of the line shown in this graph?
The function is x=-2
Topic 9: Check Your Understanding
Answer:
?
Step-by-step explanation:
Is this a question or-
Answer:
Where is question?
Step-by-step explanation:
........
please help this is due in 3 hours!! #17
Answer:
multiply 31.4x7.9 then add 9.5 to the answer to multiplication prob. Then add your answer in the first sentence. Then multiply 4.6 x 2 . I think that right,good luck : ) luck.
5 is 46% of what? Round to the nearest tenth
Answer:
Step-by-step explanation:
10.87
(rounded) 10.9
Which shows the expressions in the order they would appear on a number line from least to greatest? (5 points)
Question 9 options:
1)
2 to the power of 3, square root of 5, square root of 20, square root of 11, 11 over 9
2)
2 to the power of 3, square root of 11, 11 over 9, square root of 20, square root of 11
3)
11 over 9, square root of 5, square root of 11, square root of 20, 2 to the power of 3
4)
11 over 9, 2 to the power of 3, square root of 5, square root of 20, square root of 11 WILL SOMEONE PLEASE ANSWERE THIS FOR ME
Answer:
3) 11 over 9, square root of 5, square root of 11, square toot of 20, 2 to the power of 3
Step-by-step explanation:
Identify all Terms: 2^3, √5, √20, √11, and 11/9Simplify any Expressions: 8, ~2.23, ~4.47, ~3.32, and ~1.2Organize from Least-to-Greatest: ~1.2, ~2.23, ~3.32, ~4.47, 8Substitute Original Expressions: 11/9, √5, √11, √20, and 2^3Sincerely,
Gigabyte
heya! ^^
Help me
[tex] \boxed{ \large{ \sf{Question: }}}[/tex]
Five years ago,A's age was four times the age of B. A's age will be twice of the age of B. Find their present ages.
_______________________
best of luck ^^
Answer:
here's your answer
Five years hence, A's age will be twice the age of B.. B's age = 10 years
please mark me as brainliest
In Mrs. Wilson's math class the ratio of girls to total students is 5 to 8. if there are 24 total students, how many boys are in the class?Can you do step by step please
Answer:
9
Step-by-step explanation:
Your ratio is 5 to 8
We know the total people in the class is 24 students. the total of the ratio (8) times 3 gives us 24! So, we also multiply the 5 by 3, which gives us 15. But its asking how many girls. If there are 15 girls, the rest are boys. So we subtract 24 by 15, which gives us 9
To celebrate the first day of school, Marie brought in a tray of caramel brownies and walnut brownies. The tray had a total of 10 brownies, of which 10% were caramel. How many caramel brownies did Marie bring?
Answer:
Marie has 1 caramel brownie
Step-by-step explanation:
10 percent of 10 is 1
Function f(x) represents the population of bacteria x hours after 9 a.m. What does F(2)-F(1) represent?
Answer:
f(2)-f(1) => Difference between the count of bacteria between 11AM and 10AM
Step-by-step explanation:
Here x is the number of hours after 9AM
f(2) means the count of bacteria after 2 hours of 9AM i.e. at 11AM
f(1) means the count of bacteria after 1 hour of 9AM i.e. at 10 AM
f(2) - f(1) will give us the difference between the count of bacteria between 11 AM and 10 AM
Hence,
f(2)-f(1) => Difference between the count of bacteria between 11AM and 10AM
Need help asap! Tysm
A stack of 10 different cards are shuffled and spread out face down. If 3 cards are turned face up, how many different 3-card combinations are possible?
Answer:
120 different waysStep-by-step explanation:
Using the combination formula as shown;
nCr = n!/(n-r)!r!
If a stack of 10 different cards are shuffled and spread out face down. If 3 cards are turned face up, the number of different ways 3cards combinations are possible is expressed as;
10C3 = 10!/(10-3)!3!
10C3 = 10!/(7)!3!
10C3 = 10*9*8*7!/7!*3*2
10C3 = 10*9*8/3*2
10C3 = 720/6
10C3 = 120 different ways
Hence there are 120 different card combinations
The different 3-card combinations that are possible are; 120 possible combinations
This is a combination probability problem with the formula;
nCr = n!/((n-r)!r!)
Where;
n is sample size
r is possible choice
In this case;
n = 10
r = 3
Thus;
The different 3-card combinations possible are;
10C3 = 10!/((10 - 3)!3!)
>> 10!/(7! × 3!)
>> 120
Thus,there are 120 possible combinations of 3 different cards.
Read more at; https://brainly.com/question/23885729
help plz help plz help
Answer:
What grade is this?
Step-by-step explanation:
Answer:
122-180=68
90+68+X=98
180-98=82
X=82
Step-by-step explanation:
hope this helps
Matthew made a fruit salad, in which the ratio of blueberries to red grapes is 8:6. Write the ratio of red grapes to blueberries in simplest form. [Type your ratio using a colon and without spaces.]
Answer:
6:8
Step-by-step explanation:
Answer:
8:6
Step-by-step explanation:
sorry if incorrect i realy dont know
I like food it so good
Answer:
food is very good nooo its super good mark me brainiest plz
Step-by-step explanation:
Answer:
same here
Step-by-step explanation:
I will give your brainliest if you answer this
Answer:
i think it could be c im not too sure
Jack needs 22 pirates for every 2 pirate ships he manages complete the table using equipment ratios
A bakery uses 37 1/2 cups of flour to make 25 loaves of bread each day. Write a fraction that shows how many 1/4 cups of flour are used to make bread each day at the bakery.
Answer: 74/25
Step-by-step explanation:
150 /1 of the 1/4
Step-by-step explanation
37.5/.25
How do we find the volume of a regular solid? Please answer.
If you were finding the volume than it would be width x length x height like the other person said or whatever lol
Answer: Length * Width * Height
Does anyone have an answer to this?
Step-by-step explanation:number 4
Write an equation in slope intercept form for the line that passes through (5, -4) and is perpendicular to the line described by 2x-10y=0
A college student goes to lunch at school and pays for lunch with her ID. Her mother put money into her account for her to do so, but she doesn’t know how much. Lunch is the same cost each day , but she doesn’t know what the cost is. After buying 4 lunches, she sees that her account balance is $91 . After buying 9 lunches , her balance is $67.25 .
Each lunch would cost 4.75
Yes, the relationship is linear.
The cost of each lunch is $2.639.
The initial amount deposited by her mother is $101.55.
What is the slope?The slope is the rate of change of the y-axis with respect to the x-axis.
The equation of a line in slope-intercept form is
y = mx + b, where
slope = m and y-intercept = b.
We know the greater the absolute value of a slope is the more steeper is it's graph or rate of change is large.
From the data itself, we can obtain two points to find the slope the points are
(4, 91) and (9, 67.25).
Slope(m) = (67.25 - 91)/(9 - 4).
Slope(m) = - 2.639.
The cost of each lunch is 2.639.
∴ 67.25 = -(2.639).9 + b.
b = 91.
∴ y = -(2.639)x + 91.
The initial amount put by her mother is 91 + 4(2.639) = $101.55
learn more about slopes here :
https://brainly.com/question/3605446
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