Answer:
The interest accumulated will be $3,927
Step-by-step explanation:
Mathematically;
Simple interest = PRT/100
From the question, we have P as the amount borrowed = $5,500
R is the interest rate = 6.8%
T is the time which is 10 years + 6 months = 10 1/2 years
The interest accrued will thus be;
(5,500 * 6.8 * 10.5)/100 = $3,927
A cell phone company charges $40 plus .05 per text. What is the slope?
The slope will be 0.05.
What is the general equation of a Straight line?The general equation of a straight line is -y = mx + c
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
Other possible equations of lines are -
(y - y₁) = m(x - x₁) {Point - slope form}(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁) {Two point - slope form}x/a + y/b = 1 {intercept form}x cos(β) + y sin(β) = L {Normal form}We have a cell phone company charges $40 plus 0.05 per text
We can write the general equation for the cell phone as -
y = 0.05x + 40
Now, we can compare with the general equation of line as -
m = 0.05
Therefore, the slope will be 0.05.
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Help will give brainiest and 20 points, Here is the data above. If you don’t answer properly I will report
How many more students enrolled in drivers education in 2005 than in 1995? Pls give a full sentence and explain how you did it.
Answer:
In total 177 more students enrolled this year.
Step-by-step explanation:
First get the sum of the students who enrolled in 1995, then the sum of 2005 and then subtract the sums.
Answer:
177 more students
Step-by-step explanation:
1995 had 65 students enrolled
females - 23 males - 42
23 + 42 = 65
2005 had 242 students enrolled
113 + 129 = 242
now to get how many more, you'll want to subtract
242 - 65 = 177
we know this is correct by adding 65 to 177
177 + 65 = 242
either way our answers will be the same
Hope this helps you!
~tnyu
g(x)=3x−3
If g(x)=-6, then what is x?
Answer:
x = -1
Step-by-step explanation:
3(-1) - 3
-3 - 3
-6
-6 = -6
Answer: x=-1
Step-by-step explanation:
Substitute g(x) as -6
-6=3x-3
add 3
-3=3x
divide 3
-3/3=-1
x=-1
What set of numbers will not create a triangle {13,22,34} {8,20,30} {10,14,23} {15,25,37}
Answer:
{8,20,30} won't make a triangle
Step-by-step explanation:
add the first two sides of the triangle, if it's greater it's a triangle if it's not it won't work
What is the slope of the line that passes through the points (6, 7) and (4, 1)?
Answer:
m = 3
Step-by-step explanation:
[tex]m=\frac{1-7}{4-6}=\frac{-6}{-2}=\boxed{3}[/tex]
Hope this helps.
Answer:
3
Step-by-step explanation:
y¹-y²
------
x¹-x²
substitute then solve.
7-1 6
------ --> ----
6-4 2
6/2=3 so slope is 3.
4x^3(5x) = what,
will mark brainliest
Answer:
the answer is 20x^4
Step-by-step explanation:
too long to explain, simple answewr
£50 is divided between Krutika, Natasha & Richard so that Krutika gets twice as much as Natasha, and Natasha gets three times as much as Richard. How much does Krutika get?
Answer:
£30
Step-by-step explanation:
→ Model the situation in terms of x
Richard = x, Natasha = 3x and Krutika = 6x
→ Now put the values into ratio form
6x : 3x : x = 50
→ Collect the x terms
10x = 50
→ Divide both sides by 10 to isolate
x = 5
→ Substitute x = 5 into Krutika
6 × 5 = 30
Answer:
£30
Step-by-step explanation:
Let's break down the information given to help us find how much Krutika gets.
"Natasha gets three times as much as Richard" - We can express the value that Natasha gets as [tex]3r[/tex] in terms of what Richard gets.
"Krutika gets twice as much as Natasha" - We can express this as [tex]2(3r)[/tex] which equals [tex]6r[/tex].
We know that the total money is £50, so we can write the equation:
[tex]r+3r+6r=50[/tex]
[tex]10r = 50[/tex]
[tex]r=5[/tex]
∴ Richard gets £5.
Since the money Krutika gets can be expressed as [tex]6r[/tex]:
[tex]6(5) = 30[/tex]
∴ Krutika gets £30.
Hope this helps :)
The toy factory at the North Pole uses 350 feet of wood to make 200 toys. At this rate,
how many feet of wood re needed to make 1 toy?
Answer:
1.75 feet of wood
Step-by-step explanation:
350/200 = 1.75
x/1 = 1.75
Multiply both sides by 1 to isolate x.
x = 1.75
Please help asap i will give brainliest
Answer:
area is 20
Step-by-step explanation:
Answer:
20 units squared
Step-by-step explanation:
4(base) x 10(height) = 40
40 / 2 = 20
What is 3x + 2 = 4x - 1
Answer:
3 = x
Step-by-step explanation:
To simplify this equation, combine like terms:
3 = x
Solve
6(2x- 5)= 15x+3
Answer:
x = -11Step-by-step explanation:
6(2x- 5)= 15x+3 expand
12x - 30 = 15x + 3 combine similar terms
12x - 15x = 30 + 3 simplify
-3x = 33 divide -3 both sides
x = 33 / -3 simplify
x = -11
Multiply then write fraction in simplest form
Answer: 1 7/30
Step-by-step explanation:
A student claims that more than 55% of the mothers with school-age children worked outside the home. The student finds that a sample of 150 mothers from Bronx New York revealed that 96 were working outside the home. At a significance level of = 0.05, is the student correct?
Answer:
There is sufficient evidence that the students claim is correct.
Step-by-step explanation:
From the information given:
The population proportion P = 55% = 0.55
The sample size n = 150
The sample mean x = 96
The sampling proportion from the sample mean [tex]\hat p = \dfrac{x}{n}[/tex]
[tex]\hat p = \dfrac{96}{150}[/tex]
[tex]\hat p =0.64\\[/tex]
The null and alternative hypothesis is:
[tex]H_o : p = 0.55 \\ \\ H_1 : p > 0.55[/tex]
The test statistics can be computed as follows:
[tex]Z = \dfrac{\hat p - p}{\sqrt{\dfrac{p(1-p)}{n}}}[/tex]
[tex]Z = \dfrac{0.64 - 0.55}{\sqrt{\dfrac{0.55(1-0.55)}{150}}}[/tex]
[tex]Z = \dfrac{0.09}{\sqrt{\dfrac{0.2475}{150}}}[/tex]
[tex]Z = \dfrac{0.09}{\sqrt{0.00165}}[/tex]
Z = 2.22
The P - value = P ( Z > 2.22)
= 1 - P( Z < 2.22)
= 1 - 0.98679
= 0.01321
Since P-value is less than the level of significance ∝ = 0.05
We reject the null hypothesis [tex]H_o[/tex]
Conclusion: There is sufficient evidence that the students claim is correct.
if a jigsaw puzzle is priced 17.00 but cost 17.68 at the register what is sales tax rate
Answer:
4%
Step-by-step explanation:
17.68 / 17 = 1.04
1.04 - 1 = 0.04
0.04 = 4%
So the sales tax rate is 4%
For f (x), evaluate the following:
a, f(0)
b. f(6)
Show all of your work
Answer:
a). f(0) = 4
b). f(6) = 8
Step-by-step explanation:
a). When x < 5, piecewise function to be considered,
f(x) = x + 4
Since, x = 0 is less than x = 5
f(0) = 0 + 4
f(0) = 4
b). When 5 ≤ x < 7,
Piecewise function to be considered,
f(x) = 8
Therefore, for x = 6,
f(6) = 8
Un chef tiene 24 patatas. Si necesita 178 patatas para la cena de Navidad. ¿Cuántas patatas va a necesitar ahora? Luego le informan de que necesita 89 chuletones asados con mantequilla. Si cada chuletón cuesta 3 € y la unidad de caja de mantequilla 50 cts y necesita una caja para cada chuletón. ¿Cuánto se va a gastar en total?
Answer:
El chef necesitará 154 patatas.
El gasto total será 311.5 €
Step-by-step explanation:
Un chef tiene 24 patatas. Si necesita 178 patatas para la cena de Navidad. ¿Cuántas patatas va a necesitar ahora?
Para calcular la cantidad de patatas que el chef necesita debes hacer la diferencia entre la cantidad de patatas requeridas para la cena de Navidad y la cantidad de patatas que el chef ya tiene. Esto es:
178 -24= 154 patatas
El chef necesitará 154 patatas.
Luego le informan de que necesita 89 chuletones asados con mantequilla. Si cada chuletón cuesta 3 € y la unidad de caja de mantequilla 50 cts y necesita una caja para cada chuletón. ¿Cuánto se va a gastar en total?
Ahora el chef necesita 89 chuletones asados con mantequilla, y necesita una caja de mantequilla para cada chuletón. Por lo que necesita 89 chuletones y 89 cajas de mantequilla.
Si cada chuletón cuesta 3 € y la unidad de caja de mantequilla 50 cts (equivalentes a 0.5 €), entonces el gasto total será calculado como:
89 chuletones* 3 € + 89 cajas de mantequilla* 0.5 €= 311.5 €
El gasto total será 311.5 €
HELP PLEASE. what is the solution to this as an ordered pair. (algebra 1)
Answer:
(2 , 0)
I solved this using the comparison method ;)
Answer:
y=4×+6=56
56×65
45×34=
2×-4=67
Working on abs do you see them?
Answer:
yes and free points woooooooooooo
Step-by-step explanation:
Madison went to Belk and purchased a sweater for $52. If she had a 15% coupon, what would be the price of
the sweater before tax?
Answer:
$7.80
Step-by-step explanation:
HELP ASAP!!
For what values of x and y are the triangles to
the right congruent by HL?
bruh its so blury. make the same question with a different angle
Question Progress
Homework Progress
4139
y is directly proportional to x.
When y = 30, x = 6
a) Work out an equation connecting y and x.
b) Work out the value of y when x = 12.
9514 1404 393
Answer:
a) y = 5x
b) y = 60
Step-by-step explanation:
a) The equation for a proportional relationship is ...
y = kx
We can use the given values for x and y, and solve for k:
k = y/x = 30/6 = 5
The equation is ...
y = 5x
__
b) For x=12, the value of y is ...
y = 5·12
y = 60
Can y’all help me and tell me what the answer is please I’m a bit stuck
Answer:
The correct choice is:
-2 to the 4th power is positive 16.
Option C is correct.
Step-by-step explanation:
We need to find mistake make in work below:
[tex](-2x^4)^4=-16x^{16}[/tex]
The mistake here is when we have even power, the negative sign gets positive i.e [tex](-a)^m=a^m[/tex] if m is even
so, in our case it would be:
[tex](-2x^4)^4=16x^{16}[/tex]
The correct choice is:
-2 to the 4th power is positive 16.
Option C is correct.
what is measuring mass
Answer:
Mass is used to measure the weight of an object. For example, you are measuring the mass of your body when you step on to a scale. In the metric system of measurement, the most common units of mass are the gram and kilogram.
PLEASE HELP! WILL MARK BRAINLIEST!
What is the slope between points T (9, -3) and U (-4, 1)?
Answer:
The slope between points T (9, -3) and U (-4, 1) is [tex]\mathbf{-\frac{4}{13}}[/tex]
Step-by-step explanation:
We need to find the slope between points T (9, -3) and U (-4, 1)
The formula used to find slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\[/tex]
We are given: [tex]x_1=9,y_1=-3, x_2=-4, y_2=1[/tex]
Putting values and finding slope:
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\\\Slope=\frac{1-(-3)}{-4-9} \\Slope=\frac{1+3}{-4-9} \\Slope=\frac{4}{-13}\\Slope=-\frac{4}{13}[/tex]
So, slope between points T (9, -3) and U (-4, 1) is [tex]\mathbf{-\frac{4}{13}}[/tex]
The pattern below follows the rule, "starting with a value of 4, every
consecutive row has a value that is 2 less than twice the value of the previous
row."
Value
Row 1
4
Row 2
6
Row 3
10
What is the value for the 5th row?
A. 36
Ο Ο
O B. 66
O c. 34
O D. 20
SUBMIT
Answer:
C
Step-by-step explanation:
Consider the triangle.
Which statement is true about the lengths of the sides?
O Each side has a different length.
O Two sides have the same length, which is less than
the length of the third side.
O The three sides have the same length.
O The sum of the lengths of two sides is equal to the
45
length of the third side.
Answer:The three sides have the same length.
Step-by-step explanation:
If this isn’t it, I’m sorry.
Answer:
The 3rd option, "The three sides have the same length."
Step-by-step explanation:
Just took the test.
After his first month he had more than he expected to have due to interest the bank provided. This let
Rob come up with a better expression,
+45w +155, where w is the number of weeks. How much
25
will he have in 1 vear?
Answer:
Step-by-step explanation:
The amount of money Robert has after 1 year is; $2495.
How to solve Algebra Word Problems?We are told that Robert came up with the following expression 45w + 155.
where w is the number of weeks that he has been saving.
The equation above represents the amount he will have in his bank account.
Now, 1 year has 52 weeks. Thus, the amount he would have saved in 52 weeks is;
45(52) + 155 = $2495
Thus, we conclude that the amount of money Robert has after 1 year is $2495.
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Write the first four terms of the sequence defined by each of the following recursive formulas.
Need help with geometry problems
1. d. QS ≅ ST.
2. a. ∠A and ∠D are right angles.
3. D is the midpoint of segment AC (statement 2)
Definition of midpoint (reason 3)
SSS postulate (reason 5)
4. b. AC ≅ DC.
5. c. ∠ABC ≅ DBC.
What is the Definition of a Midpoint?The midpoint of a segment is where the segment is divided into two equal parts.
Thus, in question one, the statement that matches the reason in step 2 is: d. QS ≅ ST.
What is the Definition of Perpendicular Lines?Two lines that are perpendicular to each other will form right angle where they intersect each other.
Therefore, in question 2, the statement for step 2 reason is: a. ∠A and ∠D are right angles.
For question 3, the statement for the reason in step 2 is D is the midpoint of segment AC; the reason in step 3 why AD ≅ CD is: definition of midpoint, while both triangles are congruent to each other based on SSS postulate.
In question 4, since BC bisects segment AD, therefore, the statement for reason 2 is: b. AC ≅ DC.
In question 5, since BC bisects angle ABD, therefore, the statement for reason 2 is: c. ∠ABC ≅ DBC.
In summary, applying the definition of midpoint among other definitions, the missing statements or reasons in the two-column proofs are:
1. d. QS ≅ ST.
2. a. ∠A and ∠D are right angles.
3. D is the midpoint of segment AC (statement 2)
Definition of midpoint (reason 3)
SSS postulate (reason 5)
4. b. AC ≅ DC.
5. c. ∠ABC ≅ DBC.
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Find the intercept of the y axis for 6x + 4y – 12z = 36. will give brainlest
(6, 4,-12)
(0, 0, -3)
(6, 0, 0)
(0, 9, 0)
Answer: ( 0, 9, 0)
Step-by-step explanation: They both equal 36 but i think (0, 9, 0) is the better fit out of (0, 9, 0), and (6, 0, 0)
Hope this helps :)