Answer:
principal is $15112
Step-by-step explanation:
25000=P(1+ 0.028/12)^(12times18)
The principal amount of the savings is $15111.6
How to determine the principal amount?The given parameters are:
Interest rate, r = 2.8%Amount, A = $25,000Time, t = 18 yearsNumber of times compounded, n = 12 i.e. monthlyAmount is calculated using:
A = P(1 + r/n)^nt
So, we have:
25000 = P(1 + 2.8%/12)^(12 * 18)
Make P the subject
P = 25000/(1 + 2.8%/12)^(12 * 18)
Evaluate the expression
P = 15111.6
Hence, the principal amount is $15111.6
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Its says in question 4 tue horizontal translation is A right.?
Answer:
Here we have:
g(x) = 3*f( 2*x - 2) - 1
We want to know the horizontal translation used here.
We need to discuss two types of transformations here.
horizontal translation.
If we have a function f(x), a horizontal translation of N units is written as:
g(x) = f(x + N)
if N is negative, the translation is to the right.
if N is positive, the translation is to the left.
Horizontal dilation.
For a function f(x) an horizontal dilation of scale factor k is written as:
g(x) = f( x/k)
You can see that in our function we have both of these transformations.
Because we compare the translation with f(x), we assume that the horizontal translation is the first thing we did, then we must have
translation:
g(x) = f(x + N)
and now a horizontal dilation of scale factor k
g(x) = f( (x + N)/k)
Then we must have that the argument of the above function is the same as the argument of the given function.
(x + N)/k = 2*x - 2
then:
k = 1/2
(x + N)/1/2 = 2*x + 2*N = 2*x - 2
2*N = -2
N = -2/2 = -1
This means that we have a translation of 1 unit to the right.
⚠️⚠️HELP PLEASE DUE BY MIDNIGHT⚠️⚠️
*explain if you can*
Write two different quadratic equations to represent the function with a vertex of (3,-5).
which graph represents the function f(x) = 4|x|?
the answer to your question is B / the second graph
Answer:
the 2nd one(the steep one thats in the middle of top row)
Step-by-step explanation:
it transformed the function with a vertical stretch of 4
kengrew 4/5 of an inch last year sang grew three eighths of an inch who grew more and by how much
Answer:
Ken;
Step-by-step explanation:
Ken grew 4/5 of an inch. 4/5=0.8
Sang grew 3/8 of an inch. 3/8= 0.375
0.8 > 0.375 so Ken grew more.
0.8 - 0.375 = 0.425
So, Ken grew 0.425 more inches than Sang grew. 0.425 is also the same thing as 17/40.
Find the value of the variable:
Answer:
∠v = 76°
Step-by-step explanation:
since it is an isosceles triangle, both angles at the top of the picture are 52°.
∠v = 180° - 52° - 52° = 76°
Please help what is the answer if you put a link you will get reported
Answer:
it's 1and 3 are the modes
One angle of a parallelogram measures 70°. What are the measures of
the other three angles in the parallelogram?
Answer:
70,110,110
Step-by-step explanation:
angles in a parallelogram=360, opposite angles are equal, so two of the angles measure 70° each, 70+70=140, 360-140= 220, 220÷2= 110
A collection of coins is inside a bag. Find the probability of selecting a quarter out of the bag by only removing one coin at a time. Each time you select a coin, you mark
the coin on the tally chart below, and then put the coin back in the bag.
Coin
Number of Coins
cent
6
Inickel
4
dime
10
quarter
12
Answer:3/8
Step-by-step explanation:
what is the value of log39?
I need help with this equation!!
Answer:
6,4
Step-by-step explanation:
Answer:
6 and 4
Step-by-step explanation:
So for the pattern, on the left side it's going up 2. And on the right side it's going down 2.
Hopefully this helps
Find the measure of angle 1.
Answer:
Do you have an attached picture?
Step-by-step explanation:
Answer:
There's nothing there
Step-by-step explanation:
This jar has 1 red, 74 yellow, and 25 green gumballs. What are the chances of picking a green gumball? the red one?
Answer: green = 25/100, red = 1/100
Step-by-step explanation: add ALL of the gumballs, there's your denominator, now you have 0/100 (1+74+25), count the amount of marbles you want to get the probability of, lets say green, there's your numerator (25) = 25/100
4. What happens to the average kinetic energy of matter when heated?
Answer:
because it is melted
Step-by-step explanation:
let
body heating on 100c and its average is 50
what is 13.646 rounded to the nearest whole number
Answer:
The answer is 14.
Step-by-step explanation:
how do you graph the inequality of x<-3
NO LINKS I WILL REPORT YOU
Answer:
The graph is all of the plane on and to the right of the vertical line whose equation is x=-3. Take two points whose x-coordinates are -3, say (-3,-3), and (-3,3), connect with a straight line.
Step-by-step explanation:
A sealed room in a hospital, measuring 5m wide, 10m long, and 3m high, is filled with pure oxygen.
One cubic meter volume of oxygen contains 1000L gas, and 22.4L of oxygen gas contains
6.02 x 1023 molecules (Avogadro's number).
A. 2.1976 x 100 molecules
B. 3.0051 x 1026 molecules
C. 4.0313 x 1027 molecules
D. 7.5014 x 1030 molecules
Answer:
Option C. 4.0313×10²⁷ molecules.
Step-by-step explanation:
We'll begin by calculating the volume of oxygen in the room. This can be obtained by calculating the volume of the room since the gas will eventually fill the room.
Width (W) = 5 m
Length (L) = 10 m
Height (H) = 3 m
Volume (V) =?
V = L × W × H
V = 10 × 5 × 3
V = 150 m³
Thus, the volume of oxygen is 150 m³
Next, we shall convert 150 m³ to L. This can be obtained as follow:
1 m³ = 1000 L
Therefore,
150 m³ = 150 m³ × 1000 L / 1 m³
150 m³ = 150000 L
Finally, we shall determine the number of molecules of oxygen in the room. This can be obtained as follow:
22.4 L = 6.02×10²³ molecules
Therefore,
150000 L = 150000 × 6.02×10²³ / 22.4
150000 L = 4.0313×10²⁷ molecules
Thus, the number of molecules of oxygen in the room is 4.0313×10²⁷ molecules
35 minus 3 multiply by 8
Answer:
3*8=24 --------- 35-24=11
Answer:
11
Step-by-step explanation:
The equation is 35 - 3 • 8
To solve it, we can use the order of operations: PEMDAS. (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction)
Simplify:
35 - 24
11
hope this helps! have a great day!
10 points is all i have. PLEASE HELP!!
Answer:
Step-by-step explanation:
Answer:
Look Below
Step-by-step explanation:
2. X - 5 = -2 / X = 3
3. 2X = 10 / X = 5
4. 5X + 10 = 10 / X = 0
If you find any fault in my answers please let me know! Thanks! Have a good day! Hope this helps!
what would the circumference be of a circle if the radius is 14
What is the product?
Answer:
it is B
Step-by-step explanation:
Brainliest or
5 stars and 1 heart or both if your realy kind
PS correct me if im wrong on the answer
Two catalysts may be used in a batch chemical process. Twelve batches were prepared using catalyst 1, resulting in an average yield of 84 and a sample standard deviation of 3. Fifteen batches were prepared using catalyst 2, and they resulted in an average yield of 90 with a standard deviation of 2. Assume that yield measurements are approximately normally distributed with the same standard deviation.
(A) Is there evidence to support the claim that catalyst 2 produces higher mean yield than catalyst 1? Use alpha = 0.01.
(B) Find a 99% confidence interval on the difference in mean yields that can be used to test the claim in part (a). (e.g. 98.76).
Answer:
Step-by-step explanation:
From the given information:
Let assume:
[tex]\mu_1 =[/tex] population mean for catalyst 1
[tex]\mu_2 =[/tex] population mean for catalyst 2
Then:
Null hypothesis: [tex]\mu_1 \ge \mu_2[/tex]
Alternative hypothesis: [tex]\mu_1 <\mu_2[/tex]
[tex]\alpha= 0.01[/tex]
By using MINITAB software to compute the 2 sample t-test, we have:
Two-Sample T_Test and CI
Sample N Mean StDev SE Mean
1 12 94.00 3.00 0.87
2 15 90.00 2.00 0.52
Difference = [tex]\mu_1(1)-\mu_2(2)[/tex]
Estimate of difference: -6.00
99% upper bound for difference: -3.603
T-test of difference: 0 (vs <): T-value = -6.22
P.value = 0.000
DF = 25
Both use Pooled StDev = 2.4900
From above result
the test statistics = -6.00
p-value = 0.00
Decision Rule: To reject [tex]H_o\ \ if \ \ p \le \alpha[/tex]
Conclusion: Provided that p-value is < ∝, we reject [tex]H_o[/tex]. Hence, there is sufficient evidence to support the given claim.
b) From the MINITAB;
The 99% C.I on the difference in the mean yields that can be applied to test the claim in part (a) is:
[tex]\mathbf{\mu_1 -\mu_2 \le -3.60}[/tex]
what is the quotient?
Answer:
1/9
Step-by-step explanation:
(-3)^0 = 1
(-3)^2 = 9
so, 1/9
In the set {(2,4),(5,6),(2,-3)} why is this relation not a function?
Answer:
This relation is not a function because the x coordinate "2" repeats in more than two functions.
Step-by-step explanation:
Hope it helps :)
Find the indicated side of the
right triangle
60°
7
30°
х
X=
= [?] )
The value of x is 14 units.
Trigonometry valuesWhen handling and dealing with difficulties involving the measurement of length and angles of a right-angled triangle, trigonometric values of ratios such as sine, cos, tan, cosec, cot, and secant come in handy. The trigonometric function is widely used to solve trigonometric issues at 0°, 30°, 45°, 60°, and 90°.
How to determine value of x?We know for angle of 30° the base is 7 and perpendicular is x
then
sin30° = 7/x
[tex]\frac{1}{2} =\frac{7}{x}[/tex]
x = 7
hence, the value of x = 14 units
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PLEASE HELp find the value of each variable in the parallelogram
Answer:
z = 28
d = 126
Step-by-step explanation:
20 = z-8
20+8= z-8+8
28 = z
d-21 = 105
d-21+21 = 105+21
d = 126
The value of variable d is 126 degrees and value of variable z is 28 in the parallelogram.
What is Parallelogram?A parallelogram is a simple quadrilateral with two pairs of parallel sides.
We know that the opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.
So d-21=105
Add 21 on both sides
d=105+21
d=126
and 20=z-8
Add 8 on both sides
20+8=z
28=z
Hence, the value of variable d is 126 degrees and value of variable z is 28 in the parallelogram.
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What is the circumference of the circle with a radius of 3.22 Round to the nearest tenth.
Choose the best response
Answer:no
Step-by-step explanation:shdbdjxbejxidvdkdidbdndjd
Kelly had an apple. She cut it in half, and then she cut it in half again.
She ate three pieces of the apple. How many pieces did Kelly have left?
Answer:
1
Step-by-step explanation:
Answer:
kelly had only 1 piece left
Step-by-step explanation:
she cut it in half she got 2 pieces , when she cut it again in half she got 2 more . she then ate 3 pieces and 1 got left.
total piece= 4
eaten =3
left = 1
Is this a function? please explain if possible.
Answer:
Yes, it is a function.
Step-by-step explanation:
A function is a relation where each x-value (input value) has exactly one y-value (output value) that is related to it or mapped to it. In order words, in a function, an input value can only have one output value.
Thus, the relation represented by the table of values above is a function because every x-value (input value) has exactly one y-value (output value).
expand the square of a binomial (r-q)^2
Answer:
Step-by-step explanation:
Either memorize these two formulas, or derive them through multiplying r - q by r - q.
(r - q)^2 = r^2 - 2qr + q^2, and
(r + q)^2 = r^2 + 2qr + q^2 This is the square of the binomial (r + q).