I believe the answer is 200.
A mother wants to invest $15,000.00 for her son's future education. She invests a portion of the money in a bank certificate of deposit (CD account) which earns 4% and the remainder in a savings bond that earns 7%. If the total interest earned after one year is $900.00, how much money was invested in the CD account?
The total interest earned after one year is $900.00.
How much money was invested in the CD account? $
(Round to the nearest cent, if necessary.)
From the analysis of the above math, the amount she invested in the CD account is 5,000. See the analysis below.
What is the analysis showing the above answer?Let A be the amount invested in the CD.
Let B be the amount invested in the savings bond.
A + B = 15, 000
.04A + .07B = 900
Multiply the first equation by -.04 and add it to the second equation to get rid of the A term.
-.04A-.04B = -600 add this equation to the second equation.
.03B = 300 multiplying by 100. 3B = 30,000
dividing by 3 on both sides: B = 10,000. So A = 5,000
So she invested 5,000 in the CD account
Learn more about math analysis:
https://brainly.com/question/24439065
#SPJ1
7x ≤3x-24 or 10x-1≥9
Answer:
Im not pretty sure but i think thats the answer ^^
You sold your car for $1,000 which had cost $1,450. How much did you lose expressed as a %?.
Answer:
45%
Step-by-step explanation:
1,450 - 1,000 = 450
the 450 becomes 0.45
to make 0.45 a percent, we multiply it by 100
0.45 x 100 = 45
45%
Two families visited an amusement park. The first family bought 2 hot dogs and 3 bottles of waters, which totaled $18. The second family bought 4 hot dogs and 2 bottles of waters, which totaled $28. How much did one hot dog cost?
$2
$4
$5
$6
The answer is 6.
6x4=24
and that leaves the water to =2 per bottle.
so, 24+4=28
Answer:
$6.00
Step-by-step explanation:
To solve this problem, we have to construct two separate equations for each family, and then use any of the methods for solving simultaneous equations.
Let's consider h to represent the cost of 1 hot dog, and w to mean the cost of 1 water bottle.
• For the first family:
[tex]2h + 3w = 18[/tex]
We can rearrange the equation to make w the subject:
⇒ [tex]3w = 18 - 2h[/tex]
⇒ [tex]w = \frac{18 - 2h}{3}[/tex]
• For the second family:
[tex]4h + 2w = 28[/tex]
Since we have previously obtained an expression for w in terms of h, we can substitute that expression for w in the above equation, and then solve for h:
⇒ [tex]4h + 2(\frac{18 - 2h}{3}) = 28[/tex]
⇒ [tex]4h + \frac{36 - 4h}{3} = 28[/tex]
⇒ [tex]12h + 36 - 4h = 84[/tex] [Multiplying both sides of the equation by 3]
⇒ [tex]8h + 36 = 84[/tex]
⇒ [tex]8h = 48[/tex]
⇒ [tex]h = \bf 6[/tex]
∴ The price of one hot dog is $6.00.
The cost of one hot dog at an amusement park is $6.
What are linear and non-linear functions?A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x - 2 depicts a linear function because it is a straight line in the coordinate plane.
Any function whose graph is not a straight line is said to be nonlinear. Any curve other than a straight line can be a graph of it.
An example of a non-linear function is a quadratic function.
Let, the cost of hot dogs is 'x' and the cost of bottles of water be 'y'.
From the given information the two linear equations can be formed as,
2x + 3y = 18...(i) and 4x + 2y = 28...(ii)
Multiplying equation (i) by 2 and subtracting form (ii) we have,
4x + 2y = 28.
(-) 4x + 6y = 36
_____________
- 4y = - 8.
y = 2.
And hence x is equal to, 4x + 4 = 28 ⇒ 4x = 24 ⇒ x = 6.
So, The cost of one hog dog is $6.
learn more about linear equations here :
https://brainly.com/question/11897796
#SPJ2
I need help is -2x=3/8 a literal equation?
The equation -2x=3/8 is not a literal equation.
What is a literal equation?A literal equation can be defined as an equation which primarily of letters.
It is an equation made up of several variables or letters.
Examples of literal equations are;
V = dts = ut + 1/2 at^2Area = πr²D = m/ vWe can see from the examples shown that the equations or formulas have several variables or letters that could be written in terms of other variables.
Given the equation;
-2x=3/8
We can see that there is only one variable to be worked out and hence, is not a literal equation.
Thus, the equation -2x=3/8 is not a literal equation.
Learn more about literal equations here:
https://brainly.com/question/25382711
#SPJ1
Your car's gas tank holds 13 gallons, and you expect to get about 25 miles per gallon on this winding road. to be sure you don't run out of gas, you never want to have less than 1 gallon in the tank. you start with a full tank of gas. will you need to stop for gas during the first day's drive? explain how you know, and show your work.
If you had to drive for more than 300 miles for the first day you need to stop for gas fill up.
What is unitary method ?Unitary method is a mathematical tool for finding the value of single unit then deriving the given units according to the question.
According to the given question your car's gas tank holds 13 gallons, and you expect to get about 25 miles per gallon.
Given that you never want to run out of gas to not face this issue you always keep 1 gallon of gas in the tank.
So when you fill your tank completely you fill for 12 gallons of gas because 1 gallon is already there.
Also given that the car can go 25 miles per gallon.
So, for 12 gallons of gas you can go (25 × 12 ) miles which is
= 300 miles.
If you had to drive for more than 300 miles then you need to stop for gas in first day's drive.
learn more about unitary method here :
https://brainly.com/question/28276953
#SPJ4
Nitrogen dioxide gas and nitrogen trioxide gas combine to produce dinitrogen pentoxide gas.
Write a balanced chemical equation for this reaction.
A balanced chemical equation for this reaction is given as
NO2(g)+NO3(g)→N2O5(g)
This is further explained below.
What is a chemical equation?Generally, A chemical reaction occurs that takes place when two or more molecules contact with the appropriate orientation and sufficient force to generate a new product.
This process is referred to as a chemical reaction. During this procedure, atomic bonds are both broken and formed in the course of the operation.
Synthesis, decomposition, from another, and double displacement reactions are the four primary categories of chemical reactions. Synthesis is the process of creating new molecules from existing ones.
In conclusion, A balanced chemical equation for this reaction is given as
NO2(g)+NO3(g)→N2O5(g)
Read more about chemical equations
https://brainly.com/question/28294176
#SPJ1
what is 1+1?
And hows ur day???
Answer:
The answer is 2, and thanks for asking my day's good :D
How's your day?
Step-by-step explanation:
Is the following statement true or false?
The intersection of three planes can be a point
Answer: Sometimes true
Step-by-step explanation:
This statement is sometimes true. If three planes intersect, then their intersection can be a line or a point.
Identify the property that justifies the statement. ∠LMN ≅ ∠LMN
Please Hurry!!
The property which justifies the statement, ∠LMN ≅ ∠LMN is: C. reflexive property of ≅.
Corresponding parts of two congruent figures.In Mathematics, two geometric figures are considered to be congruent only when their corresponding side lengths are congruent and the magnitude of their angles are congruent.
What is the reflexive property of congruence?The reflexive property of congruence states that a line segment, an angle, or geometric shape (geometric figure) is always congruent to itself.
This ultimately implies that, for all angles M , ∠M ≅ ∠M. In this context, we can reasonably infer and logically deduce that the property which justifies the statement, ∠LMN ≅ ∠LMN is reflexive property of ≅.
Read more on reflexive property of congruence here: https://brainly.com/question/7604695
#SPJ1
1. Jake reads the following problem: If the original scale factor for a scale drawing of a square swimming pool is 1/90, and the length of the original drawing is measured to be 8 inches, what is the length on the new scale drawing if the scale factor of the new scale drawing length to actual length is 1/144? He works out the problem: 8 inches ÷ 1/90 = 720 inches 720 inches× 1/144 = 5 inches Is he correct? Explain why or why not.
Yes Jake is correct we the scales are accurately represented.
How to calculate the value?From the information, the original scale factor for a scale drawing of a square swimming pool is 1/90, and the length of the original drawing is measured to be 8 inches.
Therefore, the original length will be:
= 8 ÷ 1/90
= 8 × 90
= 720 inches
Therefore, Jack is correct.
Learn more about scale on:
brainly.com/question/25722260
#SPJ1
a) Work out the value of 23 +52
b) Work out the value of 72-33
c) Work out the value of 82 + √100
Answer:
Step-by-step explanation:
One
23 + 52 = 75 This can be done using columns
2 3
5 2 No carries Add.
7 5
Two
72 - 33 = 39
7 2
3 3 You have to borrow a ten from the 7 to make this work
3 9
Three
82 + sqrt(100)
sqrt(100) = 10
82 + 10 = 92
Can someone help me please
Answer:
182.5
Step-by-step explanation:
182.5
steps
623420÷3416=
182.5
helppppppppppppppppppppppp
Answer:
see explanation
Step-by-step explanation:
the 2 expressions are difference of squares and factor in general as
a² - b² = (a + b)(a - b)
Then
4w² - 36
= (2w)² - 6²
= (2w + 6)(2w - 6)
and
25[tex]x^{4}[/tex] - 64y²
= (5x²)² - (8y)²
= (5x² + 8y)(5x² - 8y)
I went to a toy shop and bought a toy car which costs $16.80, but there was a 20% discount. how much did I pay?
Step-by-step explanation:
16.80 - 20% of 16.80 = 13.44
you paid 13.44$
Answer:
=13.44
Step-by-step explanation:
0.20×16.80=3.36
16.80-3.36=13.44
Isabel sold t-shirts at a festival and made profit of $71. She made $4 for each t-shirt she sold. Her total expenses were $25. How many t-shirts did she sell?
Answer:24
Step-by-step explanation:
71 + 25=96
96 divided by 4 equals 24
you have to add her profit and her expenses to see how much she needed to sell
Help !!! With this please !!!
Answer: $48.17
Step-by-step explanation:$148.68-$24.32= $124.36
$124.36-$37.53= $86.83
$135 -$86.83=$48.17
So he needs forty-eight dollars and 17 cents.
a sporting event coordinator has 200 mini foam fingers she gives 2 foam fingers to each student in attendance. there are 26 left. how many students are in attendance?
thank u <3
The total number of students which are there in the sporting events are 87.
The total number of mini foam fingers which the sporting event coordinator has is 200. Since he gives 2 foam fingers to each student present in the event therefore each student has 1 pair of mini foam fingers.
So, in total there are 200/2 = 100 pairs of mini foam fingers.
The total number of mini foam fingers left after distribution is equal to 26.
So total pairs of mini foam fingers left = 26/2 = 13
Therefore, the number of students which are present in attendance is given by:
Total pairs of foam fingers - total pairs of foam fingers left
=> 100-13 = 87
Therefore, total number of students in attendance are 87.
Learn more about the question at:
brainly.com/question/21837989
#SPJ1
ABC = 25x + 34
CBD= 11x +23
Find ABD CBD and ABC
The measure of <ABD, <DBC and <ABC are 67, 67 and 134 degrees respectively.
Bisection of anglesAngles are bisected if they are divided into two equal parts.
If the angle BC bisects <ABC, hence <ABD and <DBC are equal, hence;
2(11x + 23) = <ABC
Given the following parameters
<ABC = 25x + 34
2(11x + 23) = 25x + 34
Expand
22x +46 = 25x + 34
22x-25x = 34 - 46
-3x = -12
x = 4
Determine the measure of the angles
<ABD = 11x + 23 = <DBC
<ABD = 11(4) + 23
<ABD = 44 + 23
<ABD = 67 degrees
<ABC = 2(67)
<ABC = 134 degrees
Hence the measure of <ABD, <DBC and <ABC are 67, 67 and 134 degrees respectively.
Learn more on bisection of angles here: https://brainly.com/question/25770607
#SPJ1
A cubical die is 3 m long. Find its volume. How much space does it occupy?
Answer:
27 m³
Step-by-step explanation:
Formula we use,
→ V = a³
Let's solve the problem,
→ V = a³
→ V = 3³
→ [ V = 27 m³ ]
Hence, it occupies 27 m³.
calculate these values
a= _____
b= _____
The values of a and b of the given matrix multiplication is gotten as; a = 2 and b = 3
How to multiply Matrices?
To multiply matrix, we follow patterns depending on the type of matrix. Thus, from the given matrix, we can say that;
(1 * -1) + (0 * -1) + (1 * 3) = a
-1 + 0 + 3 = a
a = 2
Similarly;
(1 * -1) + (0 * 2) + (1 * 4) = b
-1 + 0 + 4 = b
b = 3
Thus, the values of a and b of the given matrix multiplication is gotten as; a = 2 and b = 3
Read more about Matrices at; https://brainly.com/question/11989522
#SPJ1
Sort the following numbers into the correct category:
If you do this I will do the following: Like, Friend you, (if you want me to.) give you the brainiest, (when two people answers then I will be able to pick the best one.) and I believe that is all! Please do this and if you do not do it correctly like I wanted it and yes, I do want it to be actually “CORRECT.” So please help me complete this.And once you have done this I will say, “Thank you for your help!” :)
Answer:
sqrt of 49 is simplified as 7 so its a rational that can be put in all the rows
Step-by-step explanation:
Rational numbers: -1.3, 2.7777.., 25/2 also known as 12.5, O
Integers: sqrt of 49 also known as 7, 0
Whole numbers: sqrt of 49 also known as 7, 0
Natural numbers: sqrt of 49 also known as 7, 0
Irrational numbers: sqrt of 2, Pi,
If f (x) = 3x - 1 and g (x) = x²+1, find the following.
a) f(-1) + g (4) =
b) g(2) - g (-3) =
Will give 5 star rating and Brainliest thank you.
Which shows the expression below simplified?
A. 8 × 10-3
B. -1.4 x 10-3
C. 8x10-1
D. 8×104
0.00056+ (7 x 10-²)
Answer:
A.77
B.-17
C.79
D.832
E.0.07056
Step-by-step explanation:
A.=8×10-3
=80-3
=77
B.=-1.4×10-3
=-14-3
=-17
C.=8×10-1
=80-1
=79
D.=8×104
=832
E.=0.00056+(7×10^-2)
=0.00056+0.07
=0.07056
Evaluate.
7- 24 ÷ 8 × 4 + 6
Answer:
-35
Step-by-step explanation:
Question =7-24÷8×4+6
=7-192÷4+6
=7-49+6
=-41+6
=-35
Therefore,right answer is (-35)
PLEASE MARK ME AS THE BRAINIEST.
98÷13=
I need help please...
Answer:
7.538461538
Step-by-step explanation:
2.2 question 7) Which lines are perpendicular? The_____ lines are perpendicular (blue and green) How do you know? The product of their slopes is....
which of the following is equivalent to 3^4 ? Which of the following is equivalent to 3^ 4 ?
12
81
7
64
81 is equivalent to 3^4
What Is the Power of a Number?
The power of a number stands for how many multiples of the number there are. The power of a number is represented by something called an exponent
When a number is "raised to the second power," it means that the number is multiplied together twice, for example. When a number is "raised to the fifth power," it means that it is multiplied together five times.
we have to solve 3^4
here 3 raised to the fourth power
then 3 is multiplied together 4 times
3*3*3*3
81
Hence ,81 is equivalent tp 3^4
learn more about of power here
https://brainly.com/question/24379610
#SPJ9
HELP ME PLEASE TY
Abraham needs one-half of a point to get an A– in Math. What rational number can be used to represent the number of points needed for Abraham to get an A–?(1 point)
In order for Abraham to receive an A, he will need to earn a total of 1.5 points, which is the rational number that may be used to represent that amount.
Explain the concept of rational numbers.?It is important to keep in mind that a number is considered rational if it can be expressed in the form of a fraction.
It is possible when decimals and numbers have worked effectively.
In light of the fact that Abraham must get a grade of A– in mathematics in order to achieve an A, the rational number that can be used to symbolize the number of points that Abraham must earn in order to get an A will be the number 1.5.
Where can I find out more about rational numbers
brainly.com/question/12088221?
#SPJ1
If a closet organizer has a total width of 69 1/8 inches and the closet is 69 3/4 inches wide, will the organizer fit?
Yes the organizer will fit. See the explanation of the word problem below.
How do you know that the organizer will fit?Because 3/4 = 6/8,
69 6/8 is larger than 69 1/8 by 5/8".
That is 6 eighths minus 1 eighth is 5 eighths).
Hence, we may disregard the 69 inches because there is no difference in total inches.
The only distinction is in fractions of an inch.
Hence the organizer will be able to fit inside the closet.
What is a word problem?A word problem in mathematics is a math question expressed in one or more sentences that demands students to apply their arithmetic skills to a'real-life' setting.
Learn more about word problem:
https://brainly.com/question/21405634
#SPJ1