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Colt1911 [192]
2 years ago
13

Jack invests $1500 at a certain annual interest rate, and he invests another $3000 at an annual rate that is one-half percent hi

gher. if he receives a total of $375 interest in 1 year, at what rate is the $1500 invested?
Mathematics
1 answer:
wolverine [178]2 years ago
6 0
<span>Let r be the rate which $1500 invested. thus r+0.005 is the rate which $3000 invested. then, 1500r + 3000(r+0.005) = 375 1500r + 3000r + 15 = 375 4500r+ 15 = 375 4500r = 375-15 4500r= 360 r = 4500/360 12.5 so, rate =12.5%</span>
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Her jump rope Ella can make 17 jumps in 15 second.at this rate how make jumps can she make in20 minute?
shtirl [24]

Answer:

1360

Step-by-step explanation:

there are 1200 seconds in 20 minutes. if Ella can do 17 jumps in 15 seconds, you would divide 1200 by 15 (which equals 80) because that would be the number of 15 seconds in 20 minutes. then you would divide 80 by 17, which gives you your final answer of 1360 jumps in 20 minutes.

5 0
2 years ago
I NEED HELP! I WILL MARK BRANLIEST! I need help with 11 &amp; 12
antiseptic1488 [7]

Answer:

The answer is 17 and no

Step-by-step explanation:

#11 The room is a cube so...

cube root the volume 4913

³√4913=17

The length of the room is 17 feet.

#12

Square root 121

√121=11

Since the car is 13 feet the car will not fit in the garage which is 11ft.

6 0
3 years ago
PLZ HELP I NEED HELP REALLY HARD QUESTIONS THANKS SO MUCH!!!!! WILL BE GIVING BRAINLIEST AND FIVE STAR AND THANKS
spin [16.1K]

Answer:

1: 4

2: 2

3: 8

Step-by-step explanation:

7 0
2 years ago
A city planner designs a park that is a quadrilateral with vertices at J(-3,1), K(1,3), L(5,-1), and M(-1,-3). There is an entra
Ksivusya [100]
The Quadrilateral is JKLM, 

let M_{JK}, M_{KL}, M_{LM}, M_{JM}, be the midpoints of JK, KL, LM and JM respectively.

---------------------------------------------------------------------------------------------------------

Given any 2 point P(m,n) and Q(k,l),<span>

the coordinates of the midpoint of the line segment PQ are given by the formula:

M_{PQ}=( \frac{m+k}{2} ,&#10;\frac{n+l}{2}), </span>

-------------------------------------------------------------------------------------------------

thus the coordinates of points M_{JK}, M_{KL}, M_{LM}, M_{JM},

are as follows:

M_{JK}= (\frac{-3+1}{2}, \frac{1+3}{2})=(-1,2), \\\\M_{KL}= (\frac{1+5}{2}, \frac{3-1}{2}=(3,1), \\\\M_{LM}= (\frac{5-1}{2}, \frac{-1-3}{2})=(2, -2),\\\\ M_{JM}= (\frac{-3-1}{2}, \frac{1-3}{2})=(-2,-1)


------------------------------------------------------------------------------------------------

The distance between any 2 points P(a,b) and Q(c,d) in the coordinate plane, is given by the formula:<span>

 |PQ|= \sqrt{ (a-c)^{2} + (b-d)^{2}&#10;}</span>

------------------------------------------------------------------------------------------------

thus the distances connecting the opposite entrances can be calculated as follows:


|M_{JK},M_{LM}|= \sqrt{ (-1-2)^{2} + (2-(-2))^{2} }= \sqrt{9+16}=5

|M_{KL}M_{JM}|= \sqrt{ (3-(-2))^{2} + (1-(-1))^{2}}= \sqrt{25+4}= \sqrt{29}=5.39


Thus the total distance of the paths joining the opposite entrances is 

5+5.39 units = 50 m + 53.9 m = 104 m (rounded to the nearest meter)


Answer: 104 m



8 0
2 years ago
Blue Cab operates 15% of the taxis in a certain city, and Green Cab operates the other 85%. After a nighttime hit-and-run accide
NikAS [45]

Answer: The required probability is 0.414.

Step-by-step explanation:

Since we have given that

Probability of taxis in a certain city by Blue Cab P(B)= 15%

Probability of taxis by Green Cab P(G) = 85%

Let A be the event that eyewitness said that vehicle was blue.

P(A|B)=0.80

P(A|G)=0.80

P(A'|B)=0.20=P(A'|G)

Using the "Bayes theorem":

Probability that the taxi at fault was blue is given by

=\dfrac{P(B).P(A|B)}{P(B).P(A|B)+P(G).P(A'|G)}\\\\=\dfrac{0.15\times 0.8}{0.15\times 0.8+0.85\times 0.2}\\\\=\dfrac{0.12}{0.12+0.17}\\\\=\dfrac{0.12}{0.29}\\\\=0.414

Hence, the required probability is 0.414.

8 0
3 years ago
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