Answer:
45
Step-by-step explanation:
Answer:
3 hours
Step-by-step explanation:
the speed of the river current is 80% less
80% of 60 is 48
so the speed is now 48 mph, because the river is pushing the boat back (duh)
144 miles/ 48 mph is 3 hours.
3. Find the perimeter of the diagram. Round to the nearest
hundredth.
the answer is 16.77
fdmlksafndslakgfnlksdaajglsdanlkfsdalkfsad
Christi has $7,500 to invest. She was offered a simple annual interest rate of 4% for three years, but wants to look at other options. Which of the following changes will increase the interest she earns the most?
A-Simple interest, 4.2%, 3 years
B-Simple interest, 4.1%, 3 years
C-Simple interest, 4%, 3.25 years
D-Compound interest, 4%, 2.75 years
Christi can earn more interest if she invests $7,500 in Simple interest, 4%, 3.25 years, therefore, the correct option is c.
What is simple interest?Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,
[tex]SI = \dfrac{P \times R \times T}{100}[/tex]
where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.
The simple Interest she is currently getting,
[tex]SI = \dfrac{P \times R \times T}{100} = \dfrac{\$7,500 \times 4 \times 3}{100} =\$900[/tex]
A.)
[tex]SI = \dfrac{P \times R \times T}{100} = \dfrac{\$7,500 \times 4.2 \times 3}{100} =\$945[/tex]
B.)
[tex]SI = \dfrac{P \times R \times T}{100} = \dfrac{\$7,500 \times 4.1 \times 3}{100} =\$922.5[/tex]
C.)
[tex]SI = \dfrac{P \times R \times T}{100} = \dfrac{\$7,500 \times 4 \times 3.25}{100} =\$975[/tex]
D.)
[tex]CI = P(1+\dfrac{R}{100})^t -P = \$7,500(1+0.04)^{2.75}-\$7500 = \$854.16[/tex]
Hence, Christi can earn more interest if she invests $7,500 in Simple interest, 4%, 3.25 years, therefore, the correct option is c.
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It can be helpful to classify a differential equation, so that we can predict the techniques that might help us to find a function which solves the equation. Two classifications are the order of the equation -- (what is the highest number of derivatives involved) and whether or not the equation is linear . Linearity is important because the structure of the the family of solutions to a linear equation is fairly simple. Linear equations can usually be solved completely and explicitly. Determine whether or not each equation is linear:
Answer:
The equations are not given but the clue to your answer is given below:
Step-by-step explanation:
So the question above talks generally about differential equations (equations whose derivatives can be found) and then describes them thus - the order of a differential equation and the linearity status of a differential equation.
To determine whether or not each of the absent equations is linear, check for the following characteristics of linearity:
1. The maximum number or power that any variable in a linear equation is raised to is 1.
Example: 2x² + 6y = 43y is NOT a linear equation because some or all (in this case, variable x) of the variables in it are raised to a power greater than 1. Variable x is raised to the power of 2.
2. An equation (a linear equation, in this case) contains an 'equal to' sign. This is the reason why it's called an equation. There is a mathematical expression on each side of the equal to sign. Take note of this, just incase one of the options in your question has no equal to sign.
Example: 2x + 6y is NOT a linear equation. It is a linear expression. It contains no equal to sign that compares two distinct mathematical expressions.
3. A linear equation usually has not more than two variables. It is not complex or difficult to solve.
Example: 2x + 6y = 43z is NOT a linear equation.
A band expects to put 12 songs on their next CD. The band writes and records 25% more songs than they expect to put on the CD. During the editing process, 80% of the songs are removed. How many songs will there be on the final CD?
Answer:
3 songs
Step-by-step explanation:
25% more songs: 12 x 1.25 = 15
80% removed: 15 x 0.2 = 3
Three pizzas are shared equally among 12 people.what fraction of pizza will each person get
Answer:
1/4
Step-by-step explanation:
3/12 =0.25
0.25 = 1/4
Answer:
there are three pizzas
it has to be shared among 12 peoples
so, 3/12 = 1/4.
Find the average rate of change for the given function over the indicated values of x. If necessary, round your final answer to two decimal places.
f(x)=x^2+6x, where x goes from 5 to 7.
Answer:
The average rate of change of the function in this interval is of 18.
Step-by-step explanation:
The average rate of change of a function [tex]f(x)[/tex] in an interval from a to b is given by:
[tex]A = \frac{f(b) - f(a)}{b - a}[/tex]
In this question:
[tex]f(x) = x^2 + 6x[/tex]
Where x goes from 5 to 7.
This means that [tex]b = 7, a = 5[/tex]. So
[tex]f(7) = 7^2 + 6(7) = 49 + 42 = 91[/tex]
[tex]f(5) = 5^2 + 6(5) = 25 + 30 = 55[/tex]
The rate of change is:
[tex]A = \frac{f(7) - f(5)}{7 - 5} = \frac{91 - 55}{2} = 18[/tex]
The average rate of change of the function in this interval is of 18.
The rate of change of a function over a given interval is required.
The average rate of change is 18
Rate of changeThe given function is
[tex]f(x)=x^2+6x[/tex]
The interval is between [tex]x=5[/tex] to [tex]x=7[/tex]
Finding the corresponding [tex]y[/tex] values
[tex]y=5^2+6\times 5=55[/tex]
[tex]y=7^2+6\times 7=91[/tex]
The two points are
[tex](5,55),(7,91)[/tex]
The slope is
[tex]m=\dfrac{\Delta y}{\Delta x}\\\Rightarrow m=\dfrac{91-55}{7-5}\\\Rightarrow m=18[/tex]
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PLEASE PLEASE HELP!!!
Answer:
x = 8
Step-by-step explanation:
small triangle is similar to larger one
set up a proportion: 9 = x + 4
9+12 x+4+2x
9 = x+ 4 cross-multiply: 9(3x + 4) = 21(x + 4)
21 3x + 4 27x + 36 = 21x + 84
6x + 36 = 84
6x = 48
x = 8
Enter a rational equation for the real-world application. Do not solve.
A save percentage in lacrosse is found by dividing the number of saves by the number of shots faced. A lacrosse goalie saved 3 of 14 shots. How many additional consecutive saves s must the goalie make to raise his save percentage to 0.650?
The equation to solve this problem is ?
Answer:
data:image/png;base64,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
Find the length median of the trapezoid( 20 points and brainliest if answered)
Answer:
1. 45
2.40
Step-by-step explanation:
Allison converted 50 US dollars to 290 Argentine pesos. If she converts another 80
US dollars to Argentine pesos, how many pesos would she get for 80 US dollars?
( A) 1.6
B) 5.8
464
D) 580
Answer:
464 pesos
Step-by-step explanation:
290 / 50 = 5.8
5.8 X 80 = 464
Duck #1 lays eggs whose weights are normally distributed with a mean of 70gramsand a standard deviation of 6 grams.Duck #2 lays eggs whose weights are also normally distributed with a mean of 65 grams and a standard deviation of 5 grams. If an egg is randomly chosen from each duck, what is the probability that Duck #2’s egg weighs more than Duck #1’s egg?
Answer:
26.11% probability that Duck #2’s egg weighs more than Duck #1’s egg
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
If an egg is randomly chosen from each duck, what is the probability that Duck #2’s egg weighs more than Duck #1’s egg?
Duck #2 egg will weigh more if the subtraction of duck's 2 egg by duck's 1 egg is larger than 0.
When we subtract normal distributions, the mean is the subtraction of the means. So
[tex]\mu = 65 - 70 = -5[/tex]
The standard deviation is the square root of the sum of the variances. So
[tex]\sigma = \sqrt{6^2+5^2} = \sqrt{61} = 7.81[/tex]
Now, we have to find 1 subtracted by the pvalue of Z when X = 0. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{0 - (-5)}{7.81}[/tex]
[tex]Z = 0.64[/tex]
[tex]Z = 0.64[/tex] has a pvalue of 0.7389
1 - 0.7389 = 0.2611
26.11% probability that Duck #2’s egg weighs more than Duck #1’s egg
k+2 ≥ 5 i need the answer pls
Answer: dont know
Step-by-step explanation:
Please help with thissss
Answer:
180 degrees
Step-by-step explanation:
Lets call the unknown Angle next to angle C "ANGLE D"
1. Your given the angle 45 degrees.
2. (45 degree angle) can correspond to Angle D,
because of the alternate exterior angles definition- two lines (angles) that are on diagonal opposite sides of one another outside of the two parallel lines.
3: (45 degree angle) is an alternate exterior angle to its corresponding diagonal angle Angle D, this can also be said for (Angle C) and (angle B).
4: Now that the angles are known- (Angle C) is an alternate exterior angle to (Angle B). (45 degree angle) is an alternate exterior angle to Angle D
We can now use
The alternate Exterior angles Theorem- If two parallel lines are intersected by a transversal, then the alternate exterior angles are congruent.
4: we now know that (45 degree angle) is congruent to Angle D. And (angle C) is congruent to (angle B).
-Angle D and (45 Degree angle) are both 45 degrees since they are both alternate exterior angles to one another. And (Angle C) and (Angle B) have the same angle measure because they are alternate exterior angles to one another.
5: take a look at (angle C) and Angle D notice the transversal- (line that intersects two parallel lines), and how it creates a linear pair. Notice that the transversal has created the angles of (angle B) and (45 degree angle) to be linear pairs as well.
- Linear Pair definition- If two adjacent lines have rays pointing in opposite directions they are linear pairs.
Also the definition of a Linear Pair identifies as Supplementary. Supplementary is an angle that has a total of 180 degrees.
6: If (45 degree angle) and Angle B make a linear pair, and linear pairs have a total of 180 degrees, then solve for the angle measure of (angle B)
180= 45 + measure of (angle B)
180-45= 135
135 = measure of (angle B)
45 + 135= 180 degrees
7: The measure of (Angle B) is 135 degrees and since (Angle B) is congruent to (Angle C), the measure of (Angle C) is 135 degrees.
Therefore, (45 degree angle) and (Angle B) are 180 degrees total and (Angle C) and (Angle D) are 180 degrees total.
Now, that all exterior angle measures are found, it can be concluded that Angle A) is the same as the total measure of its exterior angle, since it is the same line that makes up the linear pair.
Therefore, (Angle a) is 180 degrees.
Plz help
Simplify 6(3x-5)+5(2x-1)
what is the value of the ecpression ( 81 1/4 ) 4
Answer:
324 1/4
Step-by-step explanation:
Answer:
43580627 _(ﾟ◇ﾟ；)ノﾞ
Step-by-step explanation:
1.1 81 = 34
(81)1 = (34)1 = 3
34
Simplify ——
4
The agriculture club is planting vegetable gardens of land that measures 1 3/4 of an acre. Each garden will measure 1/8 of an acre. What is the greatest number of gardens that can be planted?
Answer: 14 gardens
Explanation:
1. You can either turn the fractions into decimals (1.75 and 0.125) or make the denominators the same (1 6/8 and 1/8)
2. multiplying 3/4 by the 2 to get the least common multiple, which in this case is 8. (3/4x2=6/8)
3. Divide the number of acres available (1 6/8) by the number of acres needed for each garden (1/8) to get the answer. (1 6/8÷1/8=14)
A tree was 60 inches tall. Three years later it was 105 inches tall
Answer:
Im sorry but I think you have forgotten to pit your question innit
Answer:
Step-by-step explanation:
something is wrong with the question...
thanks for the points. ^_^
3/4
What fraction is equivalent to the fraction above.
Answer: 6/8, 12/16, 15/20, 18/24, are all equal
Step-by-step explanation:
hi please help urgent question!!!
will give brainlist :>
Answer:
dont know sos
Step-by-step explanation:
8). There are five bags with 98 chocolate drops in each one. How many chocolate drops are there in total? Write the equation and give the solution.
Answer:
490
Step-by-step explanation:
98*5+490
Answer:
490
Step-by-Step Explanation:
the equation is 5 x 98 = 490.
Solve for x:
1 ½ - ( 5/6x + ⅓ ) = 8/9
Answer:
its x=1/3 :)))
Complete the table, and graph the pairs of values.
write a five digit number with an 8 that is 10 times the value of 8 in 48,324
Answer:
800000
Step-by-step explanation:
the 8 is 10,000, so 10 x 10,000 = 100,000
100,000 put an 8 anywhere
first ral correct answer gets brainliest
What expression is equivalent to (-18) - 64n?
Answer:-2(9+32n)
Step-by-step explanation:
pls help! :( if you get it right I’ll give brainliest!!
Answer:
2.3 A
Step-by-step explanation:
Its 2.3 what am I supposed to say
how could you use 1/8 measuring cup to measure 1/4 cups of water
We can use 1/8 measuring cup two times.
What is measurement?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
A cup of measurement 1/8.
Now,
we have to measure 1/4 from the cup using cup of measurement 1/8.
So, we can measure it two times.
as, 1/8+ 1/8
= 2/8
=2/4.
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im dum but please help me
Answer:
336
Step-by-step explanation:
area = 1/2 * (a + b) * h
Which of the following is most likely the next step in the series
Answer:
D
Step-by-step explanation:
6 sides then 5 then 4 then there should be 3
markme brainliest
EL
2. Robyn and Rachel bought a set of CDs for £20. Robyn paid £11
and Rachel £9. What percentage of the total cost did each pay?
Answer:
jjee
Step-by-step explanation:
Algebraic Expression Evaluate the expression 9x + 2 when × = 3
HELP ME
Answer:
The value of 9x+2 when x=3 is 29
Step-by-step explanation:
Algebraic Expressions
We are given the expression
9x + 2
And it's required to evaluate the expression when the value of x is 3.
It can be done by substituting x by 3:
9*3 + 2
=27 + 2
=29
The value of 9x+2 when x=3 is 29