Answer:
$6725
Step-by-step explanation:
Given data
Princiapal= $5000
Rate=2.3%
Time= 15years
The function that will model this situation is given as
A=P(1+rt)
The above function is a simple interest function
Substitute our data we can find the amount A
A=5000(1+0.023*15)
A= 5000(1+0.345)
A=5000(1.345)
A=5000*1.345
A=$6725
Hence the value of the investment after 15 years is $6725
Which expression is equivalent to 0.06h +h+0.85h?
Answer:
1.91h
Step-by-step explanation:
0.06h+h+0.85h
1.91h
Answer:
The first one asdfghjkfruyctdf
Step-by-step explanation:
A quarter horse often excels at running races of 1/4 mile or less .how many feet is that
Answer:
1320ft
Step-by-step explanation:
1 mile is equal to 5280 feet, divide 5280/4
this will result in a quarter mile, being 1320ft. So for the question "1/4 mile or less" the Answer is the horse excels in 1320ft mile races
Help! I don't get it!
Use the Pythagorean theorem to find the unknown side of the right triangle.
Hypotenuse length_____
Answer: If you use a^2+b^2=c^2 formula you should get your answer of 39
Step-by-step explanation:
PLEASEEEE HELPPPPP ME !! :)
Answer:
ok ok, i think it's the last one
Step-by-step explanation:
In ΔXYZ, ∠Y=90° and ∠X=73°. ∠ZWY=80° and XW=80. Find the length of ZY to the nearest 100th
Answer:
618.2203≈618.22
Step-by-step explanation:
618.2203≈618.22
Calculate the measures of central tendency 1,4,3,6,6
Mean
Mode
Median
Range
Answer:
Mean: 4
Mode: 4
Median: 6
Range: 5
Step-by-step explanation:
Mean: The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.
Mode: Arrange your numbers in numerical order.
Count how many numbers you have.
If you have an odd number, divide by 2 and round up to get the position of the median number.
If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.
Median: The mode of a data set is the number that occurs most frequently in the set. To easily find the mode, put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode!
Range: The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest.
In a tennis club the ratio number of junior members : number of senior members is
7 : 10. There are 18 more senior members than junior members. Find the total amount of club members.
Answer:
35 members
Step-by-step explanation:
In a tennis club the ratio number of junior members : number of senior members is 7 : 10
From the above ratio
Number of junior member = 7
Number of senior members = 10
There are 18 more senior members than junior members.
S = 18 + j
10 + 18 = 28 senior members
Hence,
Total number of members = 28 senior members + 7 junior members
= 35 members
what is this ecspression in simplified form
(-7 square root 3)(11 square root 10)
Answer:
-77·√30
Step-by-step explanation:
(-7)·√3·11·√10 = (-77)·√3·10 = -77·√30
find the amount of sap maple syrup producer would have cod from each tree if the total amount (5gallons) was redistributed equally among the trees
Answer: hi
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
hope is helps <3
The cost C in dollars of manufacturing x bicycles at a production plant is given by the function shown below.
C(x) = 3x^2- 600x + 43,500
a. Find the number of bicycles that must be manufactured to minimize the cost.
b. Find the minimum cost.
Answer:
Minimum 100 bicyclesMinimum cost is 13500Step-by-step explanation:
Given function:
C(x) = 3x^2- 600x + 43500a.
Minimum cost is obtained at vertex.
Vertex is determined by formula x = -b/2a, in standard form of
f(x) = ax^2 + bx + c
Vertex of the given function is:
x = -(-600)/(2*3) = 100b.
Cost at vertex is:
C(100) = 3*100^2 - 600*100 + 43500 = 13500HERE for help me one more
Answer:
Im pretty sure its D.
Step-by-step explanation:
I think it would be option D. Is it considered the subsoil layer
PLEASE HELP QUICK ITS ALMOST DUE!
What is the slope of the inequality of the red line in this graph
Find the distance between (-22,15) and (30, -25).
Answer:
65.60
Step-by-step explanation:
Formula :
Distance between two points = √(xB−xA)2+(yB−yA)2(xB-xA)2+(yB-yA)2
Solution :
Distance between two points = √(30−−22)2+(−25−15)2(30--22)2+(-25-15)2
= √522+(−40)2522+(-40)2
= √2704+16002704+1600
= √43044304 = 65.6049
The base of a solid oblique pyramid is an equilateral triangle with a base edge length of 14 units. What is BC, the height of the pyramid? 7 units 7StartRoot 2 EndRoot units 14 units 14StartRoot 2 EndRoot units
The length of line height BC according to the given parameter is; 14√2.
What is the length of the line BC?It follows from the task content that the base edge length of the pyramid is 14 units.
On this note, it follows that length of the segment BC is given by Pythagoras theorem as;
BC² = 14² + 14²
BC = 14√2.
Read more on Pythagoras theorem;
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Answer:
D. 14StartRoot 2 EndRoot units
Step-by-step explanation:
Edge
in the diagram the measures of angle 1 and 4 is 100 the measure of 5 and 8 are 110 are c and d parallel
Answer:
no,because <1 and <5 are not congruent
Step-by-step explanation:
i did the test yw
name the following polynomial expression.
[tex] {4x}^{2} + x - 3 [/tex]
Answer:
Step-by-step explanation:
It has 3 terms so it is a trinomial.
It can also be called a quadratic.
Answer:
a trinomial.
If that is what ur asking for
Step-by-step explanation:
Jada uses 7.4 pints of white paint and blue paint to paint her bedroom walls. 4 5 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls?
Answer:Amount of blue paints used to paint bedroom walls=1.48 pints
Step-by-step explanation:
total pints of white paint and blue paint = 7.4 pints
Amount of white paint=4/ 5 x 7.4 pints=5.92pints
Amount of blue paints used to paint bedroom walls=total pints of paints used -Amount of white paint used
= 7.4 pints-5.92pints
=1.48pints
Find the area of this hexagon
Calculate the Ek of a running back that has a mass of 80 kg and is running at a velocity of 8 m/s.
Answer:
2560 J
Step-by-step explanation:
mv^2/2
80(8)^2/2
2560 J
What is the value of log4 2?
Answer:
1/2
Step-by-step explanation:
type it into the calculator
The value of logarithm log base 4(2 is 1/2.
What is Logarithm?The logarithm is exponentiation's opposite function in mathematics. This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b.
Given:
Rewrite as an equation.
log base 4(2)=x
and, Rewrite log base 4(2)=x in exponential form using the definition of a logarithm. If x and b are positive real then
log (base b) x= y equivalent to [tex]b^y[/tex] = x
Create expressions in the equation that all have equal bases.
log base 4(2)=x
[tex](2^2)^x[/tex] = 2
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
2x = 1
x= 1/2.
Learn more about Logarithm here:
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What is the mead absolute deviation of this data set?
A) 1.56
B) 143
C) 14.3
D) 15.6
what is the slope of the line
Answer:
The slope equals the rise divided by the run: . You can determine the slope of a line from its graph by looking at the rise and run. One characteristic of a line is that its slope is constant all the way along it.
Answer:
the slope of the line is 1
Step-by-step explanation:
The line goes 1 up, 1 right, 1 up 1 right ........
1 divided into 1 = 1
log subscript-4 (m^2)=log subscript-4 (18-7m)?
Answer:
m = {-9, 2}Step-by-step explanation:
log₄ (m²) = log₄ (18 - 7m)18 - 7m > 0 ⇒ 7m < 18 ⇒ m < 18/7
m² = 18 - 7mm² + 7m - 18 = 0m² + 2*3.5m + 12.25 = 30.25(m + 3.5)² = 5.5²m = - 3.5 ± 5.5m = 2 m = -9Answer:
[tex] \displaystyle m_{1} = 2 \quad \text{and} \quad \displaystyle m _{2} = - 9[/tex]
Step-by-step explanation:
we are given a logarithm equation
[tex] \displaystyle \log_{4}( {m}^{2} ) = \log_{4}(18 - 7m) [/tex]
notice that, we have [tex]\log_4[/tex] both sides therefore we can get rid of it
[tex] \displaystyle {m}^{2} = 18 - 7m[/tex]
in order to solve it we should make it standard form we know that
[tex] \displaystyle a {x}^{2} + bx + c = 0[/tex]
so right hand side expression to left hand side and change its sign:
[tex] \displaystyle {m}^{2} + 7m- 18=0[/tex]
now we can solve it by using factoring method
to do so rewrite the middle term as sum or subtraction of two different terms
in that case -2m+9m is good to use
[tex] \displaystyle {m}^{2} - 2m + 9m - 18 = 0[/tex]
factor out m:
[tex] \displaystyle m({m}^{} - 2 )+ 9m - 18 = 0[/tex]
factor out 9:
[tex] \displaystyle m({m}^{} - 2 )+ 9(m - 2)= 0[/tex]
group:
[tex] \displaystyle (m - 2)(m + 9) = 0[/tex]
hence,
[tex] \displaystyle m_{1} = 2 \quad \text{and} \quad \displaystyle m _{2} = - 9[/tex]
remember that,
when we deal with logarithm equation we should always check the roots
let's check the root 1:
[tex] \displaystyle \log_{4}( {2}^{2} ) \stackrel{?}{=} \log_{4}(18 - 7.2) [/tex]
simplify square:
[tex] \displaystyle \log_{4}( 4) \stackrel{?}{=} \log_{4}(18 - 7.2) [/tex]
simplify multiplication:
[tex] \displaystyle \log_{4}( 4) \stackrel{?}{=} \log_{4}(18 - 14) [/tex]
simplify substraction:
[tex] \displaystyle \log_{4}( 4) \stackrel{?}{=} \log_{4}(4) [/tex]
simplify logarithm:
[tex] \displaystyle 1 \stackrel{ \checkmark}{=} 1[/tex]
let's check root 2:
[tex] \displaystyle \rm \log_{4}( { - 9}^{2} ) \stackrel{?}{=} \log_{4}(18 - 7.( - 9)) [/tex]
simplify square:
[tex] \displaystyle \rm \log_{4}( 81 ) \stackrel{?}{=} \log_{4}(18 + 63) [/tex]
simplify addition:
[tex] \displaystyle \rm \log_{4}( 81 ) \stackrel{ \checkmark}{=} \log_{4}(81) [/tex]
therefore,
[tex] \displaystyle m_{1} = 2 \quad \text{and} \quad \displaystyle m _{2} = - 9[/tex]
Write an equation of the line that passes through point P and is parallel to the line with the given equation: P(2,5) Y-1=4x
Given:
The equation of a line is:
[tex]y-1=4x[/tex]
A line parallel to the above line passes through the point P(2,5).
To find:
The equation of the parallel line.
Solution:
The slope intercept form of a line is:
[tex]y=mx+b[/tex] ...(i)
Where, m is the slope and b is the y-intercept.
The given equation is:
[tex]y-1=4x[/tex]
It can be rewritten as
[tex]y=4x+1[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]m=4[/tex]
It means the slope of the given line is 4.
We know that the slopes of two perpendicular lines are equal. So, the slope of the required parallel line is also 4.
The parallel line passes through the point P(2,5) with slope 4, thus the equation of the parallel line is
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-5=4(x-2)[/tex]
[tex]y-5=4x-8[/tex]
[tex]y=4x-8+5[/tex]
[tex]y=4x-3[/tex]
Therefore, the equation of the required parallel line is [tex]y=4x-3[/tex].
help please thank you sm!!!
Answer:i think it is 54 degree
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
An angle inscribed in a semi circle measures 90. So that means the third angle measures 36.
given y²+5y-6= (y+p) (y+q), find the values of p and q.
Answer:
(y+6)(y-1)
Step-by-step explanation:
literally factorising.
y^2 x -6 = -6y^2
u need two numbers that multiply to make -6 and add them together to make +5 which is +6 and -1.
Answer:
p = 6, q = - 1 , or p = - 1, q = 6
Step-by-step explanation:
Factorise the quadratic expression on the left side
y² + 5y - 6
Consider the factors of the constant term (- 6) which sum to give the coefficient of the y- term (+ 5)
The factors are + 6 and - 1 , since
6 × - 1 = - 6 and 6 - 1 = + 5 , then
y² + 5y - 6
= (y + 6)(y - 1) = (y - 1)(y + 6)
Compare to (y + p)(y + q) , then
p = 6, q = - 1 or p = - 1, q = 6
You can send 34 text messages in 12 minutes. How many minutes does it take you to send 68 messages?
Answer:
24
Step-by-step explanation:
34 messages per 12 minutes
68 is just 34 mulitplied by 2.
it would take you twice as long because there are twice as many messages.
12 minuted multipled by 2 is 24.
It would take you 24 minutes to send 34 messages.
Answer:
24 minutes
Step-by-step explanation:
34/12
68/x
34*2=68
12*2=24
The measure of two sides of a triangle are given. If the perimeter is 11x^2 - 29x + 10, find the measure of the third side.
Answer:
I would say use photomath if you cant find your answer.
Step-by-step explanation:
Ravi is running against two other candidates for student council president. All of the 750 students in Ravi's school will vote for student council president. How can Ravi generate a representative sample that will help him determine whether he will win the election?
(7th grade 8-1)
Answer:
50 students from each grade
Step-by-step explanation:
If we get the similar amount of people from each and every grade so this would represent the percentage occur from each grade this determine the number of people who vote per grade and represent that how much would the vote for student comes
Also 50 is easily divisible by 750
Therefore the above represent the answer