Answer:
a= 15
Step-by-step explanation:
Given
3a + b = 54 ← substitute b = 9
3a + 9 = 54 ( subtract 9 from both sides )
3a = 45 ( divide both sides by 3 )
a = 15
Why would your savings account “lose value” if the rate of return you receive is lower than the rate of inflation?
Answer:
Inflation is the continuing reduction of the purchasing power or price level rise in a given time period.
Therefore, keeping money in a savings account that gives an interest rate that is lower than the inflation rate, in a period of high inflation will result in a reduction of the purchasing power of the amount of money plus interest in the savings account.
If the interest rate is 10%, the amount, A, in the account after a given time will be 1.1A
If the inflation rate is 15%, the value of the goods sold initially at A, will become 1.15A after the given period and the amount in the account will no longer be able to purchase the goods it was initially able to purchase, or the amount in the savings account will lose value
Step-by-step explanation:
In this exercise, we have to know some finances concepts in order to explain the problematized situation in this way we can say that:
Inflation exist the ongoing decline of the ability to purchase or price level rise fashionable a likely time period.
Explaining this concept of finance in a deeper way, we find that:
Inflation exist the ongoing decline of the purchasing power or price level rise fashionable a likely an age.
Therefore, consistency services in a account for saved money that gives an sum charged for use of money that is to say inferior the swelling rate, in a period of extreme swelling will influence a decline of the ability to purchase of the amount of services plus interest in the account for saved money.
If the sum charged for use of money exist 10%, the amount, A, fashionable the or charges after a likely opportunity will exist 1.1A
If the swelling rate exist 15%, the value of ability sold out at first at A, will evolve into 1.15A following in position or time the given extent of time and the amount fashionable the or charges will not any more within financial means purchase the goods it exist at first able to perform well to purchase, or the amount fashionable the account for saved money will lose value
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A teacher asks four students to solve the expression (-6) – 9. The table shows each student's response
Student
Francesco
Gemma
Hugo
Ingrid
Response
-3
-15
3
15
Which student is correct?
Francesco
O Gemma
Hugo
Ingrid
Answer:-15 is correct
Step-by-step explanation:
(-6)-9 is the same as -6-9 since parenthesis aren’t really needed in thins case and if you use the order of operations you go left to right. So, -6-9=-15 because a negative- a negative= a negative.
Solve 8x-3y=17 for y
Answer:
y= 8 /3 x+ −17 /3
Step-by-step explanation:
Step 1: Add -8x to both sides.
Step 2: Divide both sides by -3.
Hope this helped!
Have a great day :)
Answer:
y= 17/3 - 8/3x
Step-by-step explanation:
subtract 8x from both sides and get -3y = 17- 8x. Next divide everything by -3 (because it’s the number in front of Y) making it Y= 17/3 -8/3x (were left with big numbers because neither 17 or 8 can be divided by 3)
A baseball team hosts an exhibition game in order to raise at least $5,000 for new equipment. Regular stadium seats sell for $5 each, but each
seats sells for $10
The coach draws up a feasible region in the coordinate plane, where x represents the number of premium seats the game sells, and y represents the number of regular
seats the game sells. Which of the following inequalities is NOT a boundary condition for the feasible region?
Answer:B 100%
Step-by-step explanation:
How many thousands are in 458,329?
Answer:
Their are 8 thousands in the thousands place
Step-by-step explanation:
1. Which diagram shows the construction of a 45° angle
Answer:
The answer is A.
Step-by-step explanation:
I pirnt the picture out and grabbed a ruler and started looking for the answer and If you look at A. with a ruler you can tell that it is a 45° angle.
Diagram of option(B) shows the construction of a 45° angle
What is arc?The arc is a portion of the circumference of a circle
In diagram of option(B),
∵ The arc constructed between two perpendicular lines
Hence, the angle is 45°
Diagram of option(B) shows the construction of a 45° angle
Learn more about arc
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im still bad at math
Answer:Rip
Step-by-step explanation:
R
I
P
LCM of 90 , 45, 180
180 is the LCM of the three numbers
Does (-3, 3) make the equation y = -3x true?
========================================================
Explanation:
The point (-3,3) means x = -3 and y = 3 pair up together
So plugging in x = -3 should lead to y = 3 if (-3,3) was a solution
Plug x = -3 into y = -3x to find that
y = -3x
y = -3*(-3)
y = 9
So x = -3 and y = 9 should be the actual pair (not x = -3 and y = 3)
---------------
Put another way
y = -3x
3 = -3(-3) ... replace x with -3 and y with 3
3 = 9 ... which is false
This shows (x,y) = (-3,3) is not a solution
Which of the following is a root of the polynomial function below?
F(x) = x^3+3x^2 + 4x+12
A. 3
B. 2
C. i
D. -2i
Answer:
[tex] - 2i[/tex]
Step-by-step explanation:
[tex]f(x) = { \times }^{3} + 3 {x}^{2} + 4x + 12 \\ = ( {x}^{3} + 3x^{2}) +(4x + 12) = \\ {x}^{2} (x + 3) + 4(x + 3) = \\ ( {x}^{2} + 4)(x + 3) [/tex]
NEED HELP ASAP!! Use your equation that you got for peak A to find how high Tyler will have to climb to scale the peak. (4 points) (2 for correctly substituting values, 2 points for the correct height)
Answer:
40 feet
Step-by-step explanation:
x/20=6/3
3x/3=120/3
x=40 feet
Answer:
the top answer is correct
Step-by-step explanation:
Question 1. Find h (-2)
Answer:
You forgot the rest of the function, but if x is -2, then the function is represented by f(x)=-2x
If you supply more information the equation would be different.
Step-by-step explanation:
3.67 x 10 the the 9 power
Answer:
3670000000
Step-by-step explanation:
Find the area of the path, 5 m wide, is surrounded outside the square pond of length 40 m
Answer:
200 m.
Step-by-step explanation:
Step 1:
Length × Width = Area Equation
Step 2:
5 × 40 Multiply
Answer:
Area = 200
Hope This Helps :)
How many four-digit counting numbers are not multiples of 5?
Answer:
1000 to 9999 are all of the 4-digit counting numbers
1 to 9999 gives 9999 counting numbers, but we are leaving out 999 of them
9999-999=9000 counting numbers that are 4-digit numbers
9000-1800=7200 4-digit numbers that are not multiples of 5
Step-by-step explanation:
There are 7,000 four-digit counting numbers that are not multiples of 5.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
To find the number of four-digit counting numbers that are not multiples of 5, we need to find the total number of four-digit counting numbers and then subtract the number of four-digit counting numbers that are multiples of 5.
There are 9 choices for the first digit (it cannot be 0, since we are looking at four-digit numbers), and 10 choices for each of the remaining three digits (they can be 0-9).
So, the total number of four-digit counting numbers is:
9 × 10 × 10 × 10
= 9,000
To find the number of four-digit counting numbers that are multiples of 5, we need to consider the last digit.
Since a number is a multiple of 5 if and only if its last digit is 0 or 5, there are 2 choices for the last digit.
The first three digits can be any of the 10 digits, so there are:
10 × 10 × 10 × 2 = 2,000
four-digit counting numbers that are multiples of 5.
Therefore, the number of four-digit counting numbers that are not multiples of 5 is:
9,000 - 2,000 = 7,000
Thus,
There are 7,000 four-digit counting numbers that are not multiples of 5.
Learn more about expressions here:
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James is 5 years older than Marin. If you add their ages together, they total 31.
Determine the ages of both James and Marin.
Answer:
James is 18
Marin is 13
Step-by-step explanation:
31 - 5 = 26
26/2 = 13
13 + 5 = 18
A package of 48 party favors cost $6.15. What is the cost of 1 party favor is approximately
There were 22 bales of hay in the barn. Tom stacked more bales in the barn today. There are now 76 bales of hay in the barn. How many bales did he store in the barn?
Answer:
54 bales
Step-by-step explanation:
Answer:
54 Bales
Step-by-step explanation:
Subtract 22 from 76 to get 54
what is the domain of the following function?
Solve for X step by step
Marion left out reasons from her proof. Which reason best supports the statement?
PHOTO ABOVE
Pls help me answer this question if correct I'll make brainylist!!!!
Answer:
32
Step-by-step explanation:
Which statement is true
Answer:
3/6 = 4/8
Step-by-step explanation:
they're both halves
i need help with geometry
Simplify the expression 3x -7x -4
Answer:
-4 + -4x
Step-by-step explanation:
Simplifying
3x + -7x + -4
Reorder the terms:
-4 + 3x + -7x
Combine like terms: 3x + -7x = -4x
-4 + -4x
Answer:
The simplified equation would be -4x - 4
Step-by-step explanation:
1. Combine the like terms. So it would be -4x-4 because 3-7=-4.
Point Q lies on segment ST, where point S is located at (- 3, - 3) and location of point T is unknown. If SQ : QT = 4 : 3, and point Q is located at (3, 0) on the segment ST, select a place on the coordinate grid to plot point T and name its coordinate.
Answer:
The location of point T is [tex]\vec T = (7.5, 2.25)[/tex]. Graph is included at the end of the explanation as attachment.
Step-by-step explanation:
The SQ : QT ratio means that there are 4 units of SQ for each 3 units of QT. Vectorially speaking, we notice that:
[tex]\overrightarrow {SQ} = \frac{4}{7}\cdot \overrightarrow {ST}[/tex] (Eq. 1)
[tex]\overrightarrow{QT} = \frac{3}{7}\cdot \overrightarrow {ST}[/tex] (Eq. 2)
Now, we eliminate [tex]\overrightarrow{ST}[/tex] by equalizing (Eq. 1) and (Eq. 2):
[tex]\frac{7}{3} \cdot \overrightarrow{QT} = \frac{7}{4}\cdot \overrightarrow{SQ}[/tex] (Eq. 3)
From Linear Algebra, we know that:
[tex]\frac{7}{3}\cdot (\vec T - \vec Q) = \frac{7}{4}\cdot (\vec Q-\vec S)[/tex] (Eq. 3b)
And we clear [tex]\vec T[/tex]
[tex]\frac{7}{3}\cdot \vec T -\frac{7}{3}\cdot \vec Q = \frac{7}{4}\cdot \vec Q -\frac{7}{4}\cdot \vec S[/tex]
[tex]\frac{7}{3}\cdot \vec T = \frac{49}{12}\cdot \vec Q - \frac{7}{4}\cdot \vec S[/tex]
[tex]\vec T = \frac{3}{7}\cdot \left(\frac{49}{12}\cdot \vec Q-\frac{7}{4}\cdot \vec S\right)[/tex]
[tex]\vec T = \frac{7}{4}\cdot \vec Q-\frac{3}{4}\cdot \vec S[/tex]
If we know that [tex]Q(x,y) = (3, 0)[/tex] and [tex]S(x, y) = (-3,-3)[/tex], then we have that [tex]T(x,y)[/tex] is:
[tex]\vec T = \frac{7}{4}\cdot (3, 0) - \frac{3}{4}\cdot (-3, -3)[/tex]
[tex]\vec T = \left(\frac{21}{4}, 0 \right) + \left(\frac{9}{4},\frac{9}{4}\right)[/tex]
[tex]\vec T = \left(\frac{21+9}{4},\frac{0+9}{4} \right)[/tex]
[tex]\vec T = \left(\frac{15}{2}, \frac{9}{4}\right)[/tex]
[tex]\vec T = (7.5, 2.25)[/tex]
At last we plot the segment with all points described on statement. We can check the result in the attachment set below.
HELP PLS!!! ASAP
Triangle ABC has two known angles. Angle A measures 55 degrees. Angle B measures 30 degrees. What is the measure of angle C?
Answer:
The answer will be 95°
...
Answer:
Sum of angles in a triangle is 180°
So if angle A is 55°
And B is 30°
C is 180 - 55 + 30
= 180 - 85
Angle C = 95°
Step-by-step explanation:
Daniel is currently 26 years older than his son. In 6 years he will be 3 times older than his son. How old are both of them now?
Answer:
Son's age=7
Daniel's age=33
Step-by-step explanation:
d = s + 26
d + 6 = 3(s + 6)
Substitute!
s + 26 + 6 = 3s + 18
Simplify and distribute:
s + 32 = 3s + 18
Subtract s:
32 = 2s + 18
Subtract 18:
14 = 2s
Divide by 2:
7 = s
d = 7 + 26
d = 33
Circle the correct answer choice.
1. Which is equivalent to
0.3 + 0.09 + 0.002?
A 0.14
B 0.014
C 39.2
D 0.392
Answer: D) 0.392
Step-by-step explanation:
0.300
0.090
0.002
__________
0.392
Please help and please label and number so I don’t get confused thanks
Answer:
2) V = 2000·1.07^t; $6317.63 after 17 years
3) D = 950·0.82^t; 2 months to a balance of $650
Step-by-step explanation:
Exponential equations are not so difficult. They are generally of the form ...
f(t) = (initial value) × (growth factor)^t
where t is the number of time periods to which growth factor applies. (I problem 2, that is years; in problem 3, that is months.)
The growth factor can be written different ways. In terms of growth rate, it is ...
growth factor = 1 + growth rate
Often, the growth rate is expressed as a percentage. It may be positive or negative.
__
2) The initial value is $2000, and the growth rate is 7% = 0.07. So, the exponential equation for value is ...
V = 2000·1.07^t
The value after 17 years is ...
V = 2000·1.07^17 = 6317.63
__
3) The initial value is $950, and the growth rate is -18% = -0.18. That means the growth factor is 1-0.18 = 0.82. So, the exponential equation for the remaining debt is ...
D = 950·0.82^t . . . . . where t is in months
We want to find the value of t when D=650, so we put that in the equation and solve for t. Logarithms are required.
650 = 950·0.82^t
650/950 = 0.82^t . . . . . . . . . . divide by 950
log(650/950) = t·log(0.82) . . . take logarithms
log(650/950)/log(0.82) = t ≈ 1.91
It will take about 2 months for the balance to be about $650.