Answer:
$9000 at 4$
and
$10000 at 8%
Step-by-step explanation:
Let's assume that "x" is the amount deposited in the 4% account and "y" is the amount deposited in the 8% account.
Recall the formula for interest as : [tex]I= P * R *t[/tex]
where I is the interest, R is the annual rate of interest and t is the number of years.
Since there are two investments, we need to add both interests at the end of the one year: I1 = x (0.04) (1) = 0.04 x and I2 = y (0.08) (1) = 0.08 y
Total Interest = Interest (from the 4% account) + Interest (from the 8% account)
Total Interest = $1160 = 0.04 x + 0.08 y
we also know that the total invested (x + y) adds to $19,000, that is:
$19,000 = x + y
Then we can solve these system of two equations by substitution, for example solving for y in the second equation and using the y substitution in the first equation;
y = 19000 - x
1160 = 0.04 x + 0.08 (19000 - x)
1160 = 0.04 x + 1520 - 0.08 x
0.08 x - 0.04 x = 1520 - 1160
0.04 x = 360
x = 360/0.04 = $9000
Then the other investment was : y = $19000 - $9000 = $10000
PLEASE HELP
Q is in the interior of angle XYZ.
The measure of angle XYZ = 3r +2.
The measure of angle XYQ = 2r-1.
The measure of angle ZYQ = 3r-5.
True
False
r = -3
The measure of angle XYQ = 7
10
r = 4
Ray YQ bisects angle XYZ.
Answer:
r=-3 FALSE
m<XYQ=7 TRUE
r=4 TRUE
Ray YQ bisects angle XYZ TRUE
Step-by-step explanation:
2r-1+3r-5=3r+2
5r-6=3r+2
2r=8
r=4
------------------------
r=-3 FALSE
m<XYQ=7 TRUE (XYQ=2r-1=2(4)-1=8-1=7)
r=4 TRUE
Ray YQ bisects angle XYZ TRUE (ZYQ=3r-5=3(4)-5=12-5=7. Both XYQ and ZYQ=7, so ray YQ is the bisector)
I don't know what the 10 is for in your question.
Write an expression that represents the volume of a rectangular-shaped box with a length 3 inches less than its height and a width 4 inches greater than its height
Answer: h(h-3)(h+4)
Step-by-step explanation:
To find the volume of rectangular-shaped box we will have to multiply the length by the width by the height.
Given the statements we can determine the length with the equation
L = h -3 where l is the length and h is the height.
the width can also be represent by the equation
w = h + 4
The height is is h and the length is h- 3 and the width is also h+4 so the expression will be h(h-3)(h+4)
Data sets A and B are dependent. Find mean of the differences (d bar).
A 32 30 49 45 33
B 30 26 27 37 24
Assume the paired data came from a population that is normally distributed.
Answer:
9.0
Step-by-step explanation:
Mean = Sum of terms/Number of terms
For Data Set A
Mean = 32 + 30 + 49 + 45 + 33/5
= 189/5
= 37.8
For Data Set B
Mean = 30 + 26 + 27 + 37 + 24/5
= 144/5
= 28.8
Hence, the Mean difference is calculated as the absolute difference between the Mean of Data set A and Data set B
Mean Difference = 37.8 - 28.8
= 9.0
SI units are the modern form of the:
a- geological system of measurement
b-metric system of measurement
c-US customary system of measurement
d-imperial units of measurement
Answer:
Step-by-step explanation:
SI units are the modern form of the metric system of measurement
The SI units are metric system of measurement
What is International System of Units?The International System of Units comprises a coherent system of units of measurement starting with seven base units. The units and their physical quantities are the second for time, the meter (sometimes spelled meter) for length or distance, the kilogram for mass, the ampere for electric current, the kelvin for thermodynamic temperature, the mole for amount of substance, and the candela for luminous intensity. It is represented as SI
Given data ,
Let the units of measurements be represented as A
Now , the value of A is
Seven base units - the second (symbol s, the unit of time), the metre (m, the unit of length), the kilogramme (kg, the unit of mass), the ampere (A, the unit of electric current), the kelvin (K, the unit of thermodynamic temperature), the mole (mol, the unit of substance amount), and the candela make up the SI's coherent system of units of measurement (cd, luminous intensity)
Therefore , the SI units are metric system of measurement
Hence , the SI units are solved
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Some populations, such as bacteria, can be expected under the right conditions to show exponential growth. If 5500 bacteria of a certain type are incubated under ideal conditions, then after t hours
we expect to find 5500 x 1.07^t bacteria present. How many bacteria would we expect to find after 14 hours? (Round your answer to the nearest whole number.)
How many after 3 days?
Answer:
608945 is the answer.
Step-by-step explanation:
Because..
After 14 hours the population of bacteria is 14190.
What is Exponential Decay?A quantity is subject to exponential decay if it decreases at a rate proportional to its current value.
Given that Some populations, such as bacteria, can be expected under the right conditions to show exponential growth
If 5500 bacteria of a certain type are incubated under ideal conditions, then after t hours we expect to find [tex]5500(1.07)^{t}[/tex] bacteria present.
We need to find how many bacteria would we expect to find after 14 hours
To find this we have to replace t by 14
5500×(1.07)¹⁴
5500×2.58
14190
Hence, after 14 hours the population of bacteria is 14190.
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-9x - x - 7x² - 6x² + 8 +6
Help please
Answer:
[tex] \boxed{ \bold{ \huge{ { \sf{ - 13 {x}^{2} - 10x + 14}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ - 9x - x - 7 {x}^{2} - 6 {x}^{2} + 8 + 6}[/tex]
Collect like terms
⇒[tex] \sf{ - 7 {x}^{2} - 6 {x}^{2} - 9x - x + 8 + 6}[/tex]
⇒[tex] \sf{ - 13 {x}^{2} - 10x + 8 + 6}[/tex]
Add the numbers
⇒[tex] \sf{ - 13 {x}^{2} - 10x + 14}[/tex]
Hope I helped!
Best regards!!
How many square feet is 75,480 square centimeters? (Round to the nearest tenth) *
Answer:
70123214.6cm^2
Step-by-step explanation:
Solve for "x": 3 (1 + 1) = 5 + 2
Answer:
Please where is the x in the question
Answer:
Please where is the x in the question
4.
1
Solve for m in the following equation: 7m +
2 = 24.
Solve for m in the following equation 4/7m + 1/4n =24
1. m=22/7
2. m=672/23
7m+2=24
7m=24-2
7m=22
m=22/7
The total cost after tax to repair Deborah's computer is represented by0.08(50h)+50H, where h is the number of hours it takes to repair Deborah's computer. What part of the expression represents the amount of tax she has to pay? Explain
Answer:
.08(50h) Because if the tax rate is 8%, then that is 1.08% of 50h.
Step-by-step explanation:
Pay for last week is 230.40. You worked 30 hours. How much were you paid
All we need to do is divide.
230.40 / 30 = $7.68
Therefore, he/she made $7.68 per hour.
Best of Luck!
Parallelogram ABCD has four congruent sides but no right angles. The diagonals of ABCD intersect at point P.
Which phrase could NOT describe a single transformation that maps parallelogram ABCD onto itself?
A. A rotation of 180 degrees about point P
B.
A rotation of 90 degrees clockwise about point P
o c.
A reflection across the line that passes through points A and C
D.
A reflection across the line that passes through points B and D
Can someone help plssss
Answer:
A
Step-by-step explanation:
A rotation of 180 degrees about point P
If after two hours 4 Inches off snow has fallen how many inches would have fallen after 6.6 hours
List at least three shapes, other than hexagons, In the table. If the shape is a polygon, indicate whether the shape is regular or irregular. Find the number of lines of reflection that will map each shape back on to itself when the shape flips about the line. Also describe the position of the line of reflection.
Answer:
Shape Number of Lines of Reflection Description
equilateral triangle 3 3 perpendicular bisectors of the sides
regular heptagon 7 7 perpendicular bisectors of the sides
regular octagon 8 4 perpendicular bisectors and 4 lines joining pairs of opposite vertices
Step-by-step explanation:
Find the missing angle
Answer:
47 degrees
Step-by-step explanation:
shown by the square this angel is 90 degrees. 90 - 43 = 47
Answer:
47
Step-by-step explanation:
Therefore
90-43=41
Simplify the expression: 2(5 + 7c) need help
Answer:
10+14c
Step-by-step explanation:
You multiply every number inside the parenthesis by 2.
Answer:
10+14c
Step-by-step explanation:
Multiply two times what is in parentheses.
10+14c
Please, I need help! a positive integer is subtracted from its square. The sum is 56. Write and solve a quadratic equation to find the number. Thank you!
Answer:
8
Step-by-step explanation:
x² − x = 56
x² − x − 56 = 0
(x − 8) (x + 7) = 0
x = -7 or 8
x is positive, so x = 8.
Can someone please help??
Answer:
let the number of cows = x
let the number of chickens = y
since there are 42 heads:
x + y = 42
and since a cow has 4 legs, and a chicken has 2
4x + 2y = 144
from first equation:
x + y = 42
x = 42 - y (now, we will substitute this in the second equation)
4(42 - y) + 2y = 144
168 - 4y + 2y = 144
2y = 168 - 144
2y = 24
y = 12
now, we know the number of chickens. we will replace y with 12 in the first equation since it is more simpler
x + 12 = 42
x = 30
So, there are 30 cows and 12 chickens
Brainly it if you find the answer helpful
Select expression that is mathematically equivalent to xy−z+ (a - b) X c. y - 2 O
a) x/y – z + (a - b)
b) Xc O x/(y – z) + (a - b)
c) Xc O x/y - 2 + a - b c O
d) x/(y – z) + a – b xc
Question:
Select expression that is mathematically equivalent to
[tex]\frac{x}{y-z} + (a-b)*c[/tex]
a) [tex]x/y - z + (a - b) * c[/tex]
b) [tex]x/(y - z) + (a - b) * c[/tex]
c) [tex]x/y - z + a - b * c[/tex]
d) [tex]x/(y - z) + a - b * c[/tex]
Answer:
[tex]x/(y - z) + (a - b) * c[/tex]
Step-by-step explanation:
Given
[tex]\frac{x}{y-z} + (a-b)*c[/tex]
Required
Determine its equivalent
Start by writing y - z in bracket;
[tex]\frac{x}{y-z} + (a-b)*c[/tex]
becomes
[tex]\frac{x}{(y-z)} + (a-b)*c[/tex]
When - is used as divide, it is equivalent to /
The given expression can then be rewritten as
[tex]x/(y - z) + (a - b) * c[/tex]
Hence;
[tex]\frac{x}{y-z} + (a-b)*c[/tex] is equivalent to [tex]x/(y - z) + (a - b) * c[/tex]
What is the value of f(2)?
Question:
What is the equation?
4. The admission fee at a small fair is $1.50 for
children and $4 for adults. On a certain day, 1,486
people enter the fair and $3,479 is collected. How
many children and how many adults attended?
a. 500 adults, 986 children
b. 986 adults, 500 children
c. 432 adults, 1004 children
d. 1004 adults, 432 children
Answer:
The answer is a
Step-by-step explanation:
500 times 4 is 2,000
986 times 1.50 is 1,479
Therefore your answer is a
¯\(°_o)/¯
Suppose $x$ and $y$ are integers such that $xy+5x+4y=-5$. Find the greatest possible value of $y$.
Answer:
10
Step-by-step explanation:
xy + 5x + 4y = -5
(x + 4) y + 5x = -5
(x + 4) y = -5x − 5
y = -5 (x + 1) / (x + 4)
For y to be large as possible, (x + 1) / (x + 4) must be negative. That means -4 < x < -1. So x is either -2 or -3.
The possible values of y are:
y = -5 (-2 + 1) / (-2 + 4) = 5/2 (not an integer).
y = -5 (-3 + 1) / (-3 + 4) = 10.
Find the sum.
19+(-19)
19+(-19)=0
Step-by-step explanation:
So first lets simplify this. We can use the method keep,change, change to do this. Keep the value of positive 19. Then change the + sign to - and the - sign to plus which gets us
19-(+19).
We can remove the +since we know its positive leaving 19-19 which is 0
What is the value of x?
Answer: 12
Step-by-step explanation:
Since AC bisects ∠BAD, we know that ∠BAC and ∠CAD are equal to each other. To find x, we set them equal to each other.
9x-54=4x+6 [subtract both sides by 4x]
5x-54=6 [add both sides by 54]
5x=60 [divide both sides by 5]
x=12
Now, we know that x is 12.
Point I lies between points W and F. WI = 7x – 3.
IF = 2x + 4. WF = 15x – 21. What is the measure of
WF?
Answer:
WF=34
Step-by-step explanation:
Point I lies between points W and F.
It means point WI + IF = WF
SO WI + IF = WF
WF = 15x – 21
WI= 7x-3
IF= 2x+4
WI + IF = WF
7x-3 +2x+4= 15x-21
7x+2x-15x= -21-4+3
-6x = -22
X= -22/6
X= 11/3
So WF = 15x – 21
WF= 15(11/3) -21
WF= 55-21
WF=34
what set has a fixed number of elements
Answer:
Finite Set
Step-by-step explanation:
A finite set is a set that contains a fixed number of elements, that is, the elements are countable. However, the opposite of a finite set is an infinite set which does not have a fixed number of elements and is uncountable.
Examples of a finite set are
The set of all past American PresidentsThe set of all persons in ChinaThe set of birds in Australiaa
Let A and B be n-by-n matrices in R^n, and let c be a real number. Which of the following statements about trace is not necessarily true? a. tr(A+B) = tr(A) + tr(B) b. tr(AB) = tr(BA) c. tr(AB) = tr(A)tr(B) d. tr(CA) = ctr(A)
Answer:
c. tr(AB) = tr(A)tr(B)
Step-by-step explanation:
The trace of a matrix is only valid for a square matrix, that is a n by n matrix. The trace of a matrix is the sum of all its diagonal elements. The following properties of trace holds for a matrix A and B with size n by n and a real number c.
i) The trace sum of two matrix is equal to the sum of their individual traces. That is:
tr(A + B) = tr(A) + tr(B)
ii) The trace of the product of a scalar and a matrix is the same as the product of the scalar and the trace of the product, that is:
tr(cA) = ctr(A)
iii) The trace of a transpose of a matrix is equal to the trace of the matrix, that is:
[tex]tr(A^T)=tr(A)[/tex]
iv) The trace of a product of matrix is given as:
tr(AB) = tr(BA)
Answer:
c. tr(AB) = tr(A)tr(B)
2.16=?2, point, 1, start overline, 6, end overline, equals, question mark
Answer:
[tex]2\frac{4}{25}[/tex]
Step-by-step explanation:
The question asks:
2.16 = ???
The is a decimal number that can be converted to a mixed fraction
2.16 = 2 + 0.16
2 = whole number.
So, we are left with 0.16
We can convert this to a fraction
Since it is in 2 decimal places we Multiply by 100
=( 0.16 × 100)/ 100
= 16/100
We simplify this fraction and we have
= 4/25
Therefore,
2.16 = 2 + 0.16
2.16 = 2 + 4/25
2.16 = [tex]2\frac{4}{25}[/tex]
Solve the inequality.
The solution is....
Answer:
Step-by-step explanation:
-x - 6 > 21 - 28x
27x - 6 > 21
27x > 27
x > 1
-7 times -8? -40 divided by 10?