Answer:
B) p×r×t
32000×11/100×2
Jack has $500 in a bank account that will earn 3% interest every year. Diane has $100 in an investment account that will earn 12% every year. How many years will it take for Diane's account balance to overtake Jack’s?
Answer:
20 years
Step-by-step explanation:
A=500(1+.03)^20
$903
A=100(1+.12)^20
$964
It took her 20 years to overtake.
Answer:
Simple interest = NeverCompound interest = 19 years and 4 monthsStep-by-step explanation:
Jack
Initial amount = $500Interest rate = 3% = 0.03Yearly interest = 0.03*500 = $15
Diane
Initial amount = $100Interest rate = 12% = 0.12Yearly interest = 0.12*100 = $12
Diane's initial amount and yearly interest amount are both less than of Jack's.
It means her balance will never overtake Jack's.
=======================
It is not mentioned in the question but let's assume it is compound interest which is annually compounded.
Then after x years their balance will be:
Jack
500(1 + 0.03)^x = 500*1.03^xDiane
100(1 + 0.12)^x = 100*1.12^xSolve inequality below:
100*1.12^x ≥ 500*1.03^x(1.12/1.03)^x ≥ 51.087^x ≥ 5x log 1.087 ≥ log 5x ≥ log 5 / log 1.087x ≥ 19.29 years = 19 years and 4 monthsTylan sent 3809 text messages in January. In February he sent 3115.
Answer:
Ummmm what’s the question?
Step-by-step explanation:
I will edit after you tell me what your question is.
Btw God bless you.have a great day!
Step-by-step explanation:
if you're asking how many text messages he sent in those two months then he sent 6924 messages.
Bubbles the fish is 4 feet below sea level. Swimmy the fish is 3 feet below sea
level. Which fish is closest to sea level? *
A: Bubbles?
B: Swimmy?
worth 25 points pls help me
Answer:
swimmy is closest to sea level
PLEASE HELP
Select the mean, median, mode and range of the following list of values.
Answer:
The median is three, the mean is 3.5, the range is 6 and there is no mode.
Step-by-step explanation:
The function f ( x ) = 2 x ^2 − x − 4 models the shape of a ditch. What is the average slope over the interval −4 ≤ x ≤ 2?
Answer:
[tex]Rate = -5[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 2x^2 - x - 4[/tex]
[tex]-4 \le x \le 2[/tex]
Required
Determine the average slope over the given interval
This is calculated as:
[tex]Rate= \frac{f(b) - f(a)}{b - a}[/tex]
Where:
[tex]a = -4[/tex]
[tex]b =2[/tex]
So:
[tex]Rate= \frac{f(2) - f(-4)}{2 - (-4)}[/tex]
[tex]Rate= \frac{f(2) - f(-4)}{2 +4}[/tex]
[tex]Rate= \frac{f(2) - f(-4)}{6}[/tex]
Solving for f(2) and f(-4), we have:
[tex]f(x) = 2x^2 - x - 4[/tex]
[tex]f(2) = 2 *2^2 -2 - 4[/tex]
[tex]f(2) = 2[/tex]
[tex]f(-4) = 2*(-4)^2 - (-4) - 4[/tex]
[tex]f(-4) = 2*16 +4 - 4[/tex]
[tex]f(-4) = 32[/tex]
So, the equation becomes
[tex]Rate= \frac{f(2) - f(-4)}{6}[/tex]
[tex]Rate= \frac{2 - 32}{6}[/tex]
[tex]Rate= \frac{-30}{6}[/tex]
[tex]Rate = -5[/tex]
what is the scientific notation of 0.0000003
Answer:
This is ur answer.
Hope.it helps!!!
Please help this is due soon!!! :( Please explain with explanation and answer pls
Answer for A:
x = -56/31
Step-by-step explanation:
The total angle for a pentagon is 360°
100 + 20(-56/31) + 140 + 160 - 5(-56/31) + 16(-56/31) + 16 = 360
100 + -36.1290322581 + 140 + 160 + 9.03225806452 + 28.9032258065 + 16 = 360
If you copy that into a calculator you will get
360°
Answer for B:
The angle for C, rounded to the nearest tenth, is 44.9°
Bedroom rent
1 $500
2 $625
3 $700
what would be the likely cost of a 4 bedroom apartment?
Answer:
maybe $825
Step-by-step explanation:
Im not sure but I think Its accurate
write and solve an equation to find the missing diemsion of the circle
diameer=24
Answer is in the photo. I can't attach it here, but I uploaded it to a file hosting. link below! Good Luck!
tinyurl.com/wtjfavyw
subtract 9 from 16 as an expression pls help
Answer:
16 - 9 = x
i thonk :0
or 16 - 9 = 7
Step-by-step explanation:
Pls help! I need answer.
Answer:
b = 98
Step-by-step explanation:
hope this helps . thanks
ADD two expressions
-3t-1 and 6t + 10
Jack has 5 apples, he picks out 3 pears. If his train is 7 minutes late, how much time does he have until he dies?
Answer:
huh
Step-by-step explanation:
Answer:
uh well I can't be sure but i would say approx 69 minutes since the train happens to be exactly 7 min late
The relationship between x and y is represented by the table below. Which equation represents this
table?
Х
y
1
6
3
10
4
12.
5
14
A y = x +5
By = 2x + 4
C y = 3x + 3
D
Not Here
Mr. Cipalla bought 5 pounds of clay for an art project. He paid $35.35 for clay. What is the unit price per pound of the clay he
bought?
Answer:
$7.07
Step-by-step explanation:
35.35/5=7.07
help asap schools almost done pls help me
Answer:
exit ticket
1.) 6+8x
2.) 18+6x^5
homework module 4 lesson 6
1.) 78
2.) 61
3.) 24
Step-by-step explanation:
While waiting for a video game to download, you notice that
30
%
30%30, percent of
32
,
000
32,00032, comma, 000 kilobytes have been downloaded so far.
How many kilobytes have been downloaded so far?
Find the value of 56÷p when p=7.
Answer:
8
Step-by-step explanation:
56/7 = 8
Answer:
8
56 /p.
is is given that
p = 7
now putting the value of p in question
then we get
56/7
8
hope it helps
2x3 equals what because I didn’t get it
Answer:2×3=6
or Add 2 three times
11. Which expression is equivalent to the expression shown below?
-2x + 5(3 + 2x)
a. 8x + 15
b. 53 + 4x
C. 4x + 15
d. 8 + 5x
Plzz help ..........
Answer:
AB and CD - Parallel Lines
EF and CD - Perpendicular Lines
GH and EF - Neither Parallel nor Perpendicular Lines
Let me know if this helps!
Answer:
EF and CD ------- perpendicular lines
AB and CD --------parallel Lines
GH and EF --------- neither parallel nor perpendicular lines
Step-by-step explanation:
Parallel lines are lines that do not ever intersect
Perpendicular lines create 90 degree angles
neither is just neither
13. Find the measures of the numbered angles.
Answer:
8=117 7=63 9=63
Step-by-step explanation:
180-117 = 63
7 and 9 = 63
A straight line=180
Angles across from each other are the same
9 and 7 are the same, and 117 degrees and 8 are the same
que es el dominio en notación de intervalo?
Answer: El dominio es el conjunto de números reales. En forma de intervalo, el dominio de f es (−∞, ∞). Identifica los valores de entrada. / The domain is the set of real numbers. In interval form, the domain of f is (−∞,∞). Identify the input values.
Step-by-step explanation: Used my sheet.
Wallpaper was applied to one rectangular wall of a large room. Width: 42 ft length:25.5 ft. If the total cost of the wallpaper was $771.12, what was the cost, in dollars, of the wallpaper per square foot?
Answer:
$825869.52
Step-by-step explanation:
Given that,
Width of the rectangle, b = 42 ft
Length of the rectangle, l = 25.5 ft
The area of a rectangle is given by :
A = lb
So,
A = 42 ft × 25.5 ft
A = 1071 ft²
The total cost of the wallpaper was $771.12 . So,
Cost = 1071 × 771.12
= $825869.52
So, the cost of wallpaper per square foot is equal to $825869.52.
Jamie has white, blue, and pink shirts. She has black, white, and beige pants. She has black and brown shoes. If she chooses one shirt,
one pair of pants, and one pair of shoes, how many unique outfits can she make?
In ΔLMN, the measure of ∠N=90°, the measure of ∠M=70°, and NL = 74 feet. Find the length of MN to the nearest tenth of a foot.
Answer:26.9 feet
Step-by-step explanation:
SOH-CAH-TOA
\tan M = \frac{\text{opposite}}{\text{adjacent}}=\frac{74}{x}
tanM=
adjacent
opposite
=
x
74
\tan 70=\frac{74}{x}
tan70=
x
74
x\tan 70=74
xtan70=74
Cross multiply.
\frac{x\tan 70}{\tan 70}=\frac{74}{\tan 70}
tan70
xtan70
=
tan70
74
Divide each side by tan 70.
x=\frac{74}{\tan 70}=26.9338\approx 26.9\text{ feet}
x=
tan70
74
=26.9338≈26.9 feet
Type into calculator and roundto the nearest tenth of a foot.
L
M
N
74
26.9
(opposite of ∠M)
(adj. to ∠M)
(hypotenuse)
70°
Which expression is represented on this number line?
Answer:
where's the number line??
An auditorium has 21 rows of seats. The first row has 18 seats and each succeeding row has 2 more seats than the previous row. How many seats are in the auditorium?
Answer:
798
Step-by-step explanation:
So, 21*{2*18 + (21-1)*2}/2
= 21*{36 + 20*2}/2
= 21*{36+40}/2
= 21*76/2
= 1596/2
= 798
Total number of seats is 798
Given that;Number of seats in first row = 18
Number of rows = 21
Each row added number of seats then previous = 2
Find:Total number of seats
Computation:Total number of seats = Sn = (n/2)[2a + (n-1)d]
Total number of seats = Sn = (21/2)[2(18) + (21-1)2]
Total number of seats = (21/2)[36 + (20)2]
Total number of seats = (21/2)[36 + 40]
Total number of seats = (21/2)[76]
Total number of seats = (21)(38)
Total number of seats = 798
Learn more:https://brainly.com/question/16668552?referrer=searchResults
rhombus and a square have one and the same side of 6 cm. The area of the rhombus is 4/5 of the area of the square. Find the height of the rhombus.
Answer:
1.8 is the h of the rhombus
Answer:
4.8 cm
Step-by-step explanation:
Math- Lisa is buying a cover for her patio table. If the table is 5 ft on all sides, what is the area of the cover?
Answer:
25
Step-by-step explanation:
length times width
5 times 5