Answer:
(a) 211,555.72
(b) 16.64%
Step-by-step explanation:
You want to know the total interest earned on a 200,000 investment at ...
8% compounded monthly for 2 years12% compounded quarterly for 1.5 years16% compounded semiannually for 2.5 yearsAnd you want to know the effective rate for the last period.
MultiplierThe multiplier of the investment at rate r compounded n times per year for t years is ...
k = (1 +r/n)^(nt)
ApplicationUsing this multiplier for the rates and periods given the balance of the account at the end of 6 years will be ...
200,000(1 +.08/12)^(12·2) × (1 +.12/4)^(4·1.5) × (1 +.16/2)^(2·2.5)
≈ 411,555.72
(a) InterestThe interest earned is the difference between the account balance and the principal invested:
411,555.72 -200,000 = 211,555.72 . . . . interest earned in 6 years
(b) Effective rateThe annual multiplier for the last term is ...
(1 +.16/2)^(2·1) = 1.1664
The effective interest rate is 1 less than this:
16.64% = effective rate during final year
__
Additional comment
The repetitive math can be less tedious if you let a calculator or spreadsheet do it.
No currency units are given in the problem statement.
Identify each pair of angles as corresponding, alternate interior, alternate exterior, or a consecutive interior and solve for X
Answer:
those are corresponding angles
Step-by-step explanation:
6x=5x+10
-5x on both sides of the equal sign
x=10
PLEASE HELP 30 cm
30 cm
76 cm
Casa wames to put a layer of sand at the bottom of the tank. The sand layer is to be 3 cm deep. If the density of sand is 2.65 9 what mass of sand does Carla need to purchase? Round to the nearest gram.
cm
6810
18. 136
25.11
cm
6810
18. 136
25.11
The mass of Sand that Carla needs to purchase for the sand tank is gotten to be; 25811 g
What is the mass required?Formula for density is;
Density = mass/volume
From the box we are given, it's volume is;
Volume = 30 * 30 * 76
Volume = 68400 cm³
Now, from conversion;
1 cm³ = 1g. Thus;
68400 cm³ = 68400 g
Volume = Mass/density
Volume = 68400/2.65
Volume = 25811 g
Read more about mass required at; https://brainly.com/question/1762479
10% of ___ is 14
what is the number
Answer:
140 :)
Hope this helps
Step-by-step explanation:
Tell me if I am right
Which of the following polynomials is guaranteed by the Intermediate Value Theorem to have a zero on the interval [−4,−1]?
Answer:
3
Step-by-step explanation:
because 4-1=3
The polynomials are not given, but we can answer in a general way.
Basically, what you need to test is:
Sign[p(-4)] ≠ Sign[p(-1)]
But let's see why.
The intermediate value theorem says that, if for two values a and b such that:
a < b
If we have a given continuous function such that:
f(a) < 0 and f(b) > 0.
or
f(a) > 0 and f(b) < 0
Then there exists a value c
a < c < b
Such that:
f(c) = 0
So to find the correct polynomial, you just need to evaluate it in both extremes of the interval and you should see that the sign changes.
This means that if p(x) is the polynomial, then you should have:
Sign[p(-4)] ≠ Sign[p(-1)]
This will imply, by the intermediate value theorem, that the polynomial is equal to zero for some given value on the given interval.
If you want to learn more, you can read:
https://brainly.com/question/23792383
10
TIME REMAININ
58:05
The point plotted on the number line is a
5
What is the approximate value of x?
4
9
17
20
Answer:
17
Step-by-step explanation:
[tex]\sqrt{x} = 4.1[/tex]
16 is close to 4^2. Only other viable option is 17. GL ON UR TEST :D
A line that includes the points (9,j) and (10,4) has a slope of 1. What is the value of j?
Answer:
soln
A=(9,j)
x1=9,y1=j
B=(10,4)
x2=10,y2=4
slope=1
by using the fomulaof slope,
slope=y2-y1/x2-x1
1 =4-j/10-9
1 = 4-j/1
1=4-j
j=4-1
j=3
Answer:
j = 3
Step-by-step explanation:
(9 , j) ; [tex]x_{1}= 9[/tex] and [tex]y_{1} = j[/tex]
(10, 4) ; [tex]x_{2} = 10[/tex] and [tex]y_{2} = 4\\\\[/tex]
[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\ \frac{4 - j}{10-9} = 1\\\\\frac{4 - j}{1}=1[/tex]
4 - j = 1 {Subtract 4 from both sides}
-j = 1 -4
-j = -3 {Multiply both sides by (-1) }
j = 3
When dealing with an equation containing two variables, we can put the graph of the equation on the coordinate plane because the number of variables is equal to the number of dimensions that are needed to properly graph the solution. Each ads on a graph represents one variable in the equation being graphed. What would you use to graph the solution to an equation with one variable? What would you use to graph the solution to an equation with three variables Could you graph an equation containing more than four variables Explain. If you were given the graph of an equation with two variables on a coordinate plane, what would happen to the graph if all the y-values were increased by 19 What would happen to the graph it all the values were increased by 19 What would happen to the graph if all the y-values were multiplied by 2 or by 1129 Explain
Answer:
that sounds rlly confusing ngl hope u get it right
Step-by-step explanation:
What's the perimeter?
Answer:
B. 24
Step-by-step explanation:
You add a+b+c.
A would be 5in
B would be 5in again because you can see they are the same
C would be 6in
Then you would add them all together.
5+5=10
10+6=16
Then you would multiply this by 1 1/2
This will equal out to 24
HOPE THIS HELPS
Lydia made some cookies, of which 1/3 were chocolate chip, ¾ of the remainder were gingersnaps and the rest were peanut butter. If Lydia made 4 dozen cookies altogether, how many peanut butter cookies did she make?
I mark brainliest by today
Answer:
8 peanut cookies
Step-by-step explanation:
4 x 12 = 48
48 x 1/3 = 2/3 left (16 chocolate chip)
48-16= 2/3 = 32 left
32 x 3/4 = 24 (24 gingersnaps)
32-24 = 8 ( 8 peanut cookies)
PLEASE HELP ASAPPPP!!!!!!
Answer:
B and C
Step-by-step explanation:
because AC is shorter than DF
because AB is different to DE
If mBC = mBD =140 degrees then What is m
9514 1404 393
Answer:
40°
Step-by-step explanation:
The sum of arcs of a circle is 360°, so the measure of arc CD is ...
CB +BD +CD = 360°
CD = 360° -140° -140° = 80°
The measure of inscribed angle B is half the measure of the arc it subtends:
∠B = arc CD/2 = 80°/2
∠B = 40°
Answer:
40 degrees
Step-by-step explanation:
HELP FAST ILL GIVE WHATVERR YOU WANT
: Selina weighs a metal sample in science class as being 20.8 grams. The actual weight of the sample is 20 grams. What is her percent relative error? Show your work.
Answer is 4%
If you keep subtracting 20.8 with any percent at all you would find your answer
If you need more work shown i will give you more by saying it in comments. ^^
PLEASE HELP
Select ALL the correct answers.
The histogram below shows the number of goals scored by a sample of players in Joel's soccer league throughout the season.
Which of the following are true about the data?
The players in Joel's league scored between 1 and 30 goals.
The majority of players scored between 1 and 5 goals.
The majority of players scored between 1 and 10 goals.
The data distribution is skewed to the right.
The data distribution is skewed to the left.
Answer:
1, 3 and 4 options are true about the data.
Answer:
A.
C.
D.
Step-by-step explanation:
Study Island says so.
4.3 is ten as much as
Answer:
.43
Step-by-step explanation:
The altitude of a triangle is 5 less than its base. The area of the triangle is 42 square inches. Find its base and altitude.
9514 1404 393
Answer:
base: 12 in
altitude: 7 in
Step-by-step explanation:
The formula for the area of a triangle is ...
A = 1/2bh
Filling in the given information, we have ...
42 = 1/2(b)(b -5)
b^2 -5b -84 = 0 . . . . multiply by 2, put in standard form
(b -12)(b +7) = 0 . . . . factor
The only positive solution is b = 12
The base is 12 inches; the altitude is 7 inches.
WILL GIVE BRAINLIEST!!!!!
Answer:
6
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
HELP ME PLEASEEEEEEEEEEEEE
Answer:
d
Step-by-step explanation:
Brₐinliest plz close to leveling up
Find all constants a such that the vectors (a, 4) and (2, 5) are parallel.
Answer:
[tex]\displaystyle a = \frac{8}{5}[/tex].
Step-by-step explanation:
Two vectors [tex](x_1,\, y_1)[/tex] and [tex](x_2,\, y_2)[/tex] are parallel to one another if and only if the ratio between their corresponding components are equal:
[tex]\displaystyle \frac{x_1}{x_2} = \frac{y_1}{y_2}[/tex].
Equivalently:
[tex]\displaystyle \frac{x_1}{y_1} = \frac{x_2}{y_2}[/tex].
For the two vectors in this equation to be parallel to one another:
[tex]\displaystyle \frac{a}{4} = \frac{2}{5}[/tex].
Solve for [tex]a[/tex]:
[tex]\displaystyle a = \frac{8}{5}[/tex].
[tex]\displaystyle \frac{8}{5}[/tex] would be the only valid value of [tex]a[/tex]; no other value would satisfy the [tex]\displaystyle \frac{x_1}{y_1} = \frac{x_2}{y_2}[/tex] equation.
Is (0,0) (0,100) endpoints of a vertical line, a horizontal line, or neither?
Answer:
it's a vertical line.
Step-by-step explanation:
only the Y coordinate changes making it vertical
What is the slope of the equation c=2m+40
Answer:
Slope is m = 2
tep-by-step explanation:
Answer:
slope=2
Step-by-step explanation:
Helppppp plsssssssssssssssssssssss thanks
Is it
A
B
C
D
Answer:
It is (C) (6,5)
Step-by-step explanation:
Answer:
the answer is c :D
For the following right triangle, find the side length x.
X
12
35
help pls
Answer:
the length of side X is 37
11. Which of the following shows the first 5 terms in
the sequence defined by f(1) = -8, f(n) = 2f(n - 1)?
f. 2, -16, 128, -1024, 8192
h.2, -6, -14, -22,-30
g. -8, -16, -32, -64, -128
j. -8, -6, -4, -2,0
Neal's room has sides 10 1/4 ft and 12 5/6 ft. What is the perimeter?
Answer:
66 1/6ft
Step-by-step explanation:
I have calculated by saying perimeter =2(length+width). I think that's the answer hope it helps.
Answer: 46 1/4
Step-by-step explanation:
Perimeter = (L+W) x 2
So basically ... (10 1/4 + 12 5/6) x 2
Which would be ... 23 1/12 x 2
Which gives you the answer of 46 and 1/4
PLEASE ANSWER K WILL GIVE BRAINLIEST!!
topic: solving word problems involving linear inequalities in one variable.
Sarah is 4 years older than Jonalyn. Seven years ago, the sum of Sarah's age and
Jonalyn's age is greater than 26. What is the least age of Jonaly?
Answer:30
Step-by-step explanation:26+4
A football team loses 5 yards on each of 3
consecutive plays. What signed number
represents the team's total loss of yards on
the 3 plays?
PLEASE WRITE CORRECT ANSWER, I’LL GIVE BRAINLIEST!!
Answer:
15 yards within 3 consecutive plays
B
Manuel is leaving Boston to go on a hike at Mt.
Monadnock, in New Hampshire. He mapped out a
route with the map scale of 1 in. = 25 mi and found the
total distance on the map to be about 3.2 inches. What
is the actual distance Manuel will travel?
miles
Bu
1 in. = 25 mi
There are 20 question in a test and you get 75% correct how many questions do you get right
Answer:
Answer. so the answer is 15. you got 15 questions right.
Step-by-step explanation:
decide if the two statements are logically equivalent statements, negations or neither
Answer:
Negations.
Step-by-step explanation:
The first statement is:
p ∧ q
(p and q)
This statement is only true when:
p = true
and
q = true.
And is false in all the other cases.
The other statement is:
¬q ∨ ¬p
(not q or not p)
This statement is only true if at least one of the elements is true, this happens if:
q =false (then ¬q = true)
or
p = false (then ¬p = true)
Then the first statement needs p and q to be true.
The second statement needs at least one of these to be false.
This means that when the first statement is true, the second statement is false.
When the first statement is false, the second one is true.
Then the statements are negations.
Find out the area of parallerogram