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2 years ago

Harry took a loan from the bank.

Mathematics

1 answer:

Pie2 years ago

6 0

Answer:

The size of Harry's loan is $9000.

Step-by-step explanation:

D(t) models Harry's remaining debt, in dollars, as a function of time t, in months that is given by :

$D(t) =-200t+ 9000$

We can see 200 is in negative that means it is getting deducted from the function. So, Harry must be paying this each month against his loan.

Lets put t = 0, that shows no payments have been made.

This will get the amount of loan, before any payments.

$D(t)=-200(0)+9000$

So, $D(t) =9000$

Hence, the size of Harry's loan is $9000.

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Suppose 50 percent of the customers at Pizza Palooza order a square pizza, 70 percent order a soft drink, and 35 percent order b

Firdavs [7]

Answer:

Ordering a soft drink is independent of ordering a square pizza.

Step-by-step explanation:

20% more customers order a soft drink than pizza, therefore they cannot be intertwined.

Given: P(A)=0.5 & P(B)=.7

P(A∩B) = P(A) × P(B)

= 0.5 × .7

= 0.35

P(A∪B) = P(A) + P(B) - P(A∩B)

= 0.5 + .7 - 0.35

= 0.85

P(AΔB) = P(A) + P(B) - 2P(A∩B)

= 0.5 + .7 - 2×0.35

= 0.5

P(A') = 1 - P(A)

= 1 - 0.5

= 0.5

P(B') = 1 - P(B)

= 1 - .7

= 0.3

P((A∪B)') = 1 - P(A∪B)

= 1 - 0.85

= 0.15

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1 year ago

COHEA 8th Grade Test 1

abruzzese [7]

Answer:d

Step-by-step explanation:

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2 years ago

Sonya and Isaac are in motorboats located at the center of a lake. At time t=0, Sonya begins traveling south at a speed of 36 mp

Rashid [163]

Answer:

the speed btn sonya and issac would make a right angled trangle hence easy 2 solve through pythogoras

${36}^{2} + {27}^{2} = 2025$

then find the

$\sqrt[?]{?}$

hence get 45

since it was 12 mins we need 2 multiply by 12

hence

$45 \times 12 = 540$

Therefore it's 540mph

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2 years ago

Triangle J K L is shown. Angle J K L is a right angle. An altitude is drawn from point K to point M on side L J to form a right

kompoz [17]

Answer:

$LJ=15\ units$

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the length side KJ

In the right triangle JKM

Applying the Pythagoras Theorem

$KJ^{2}=JM^{2}+KM^{2}$

we have

$JM=3\ units$

$KM=6\ units$

substitute

$KJ^{2}=3^{2}+6^{2}$

$KJ^{2}=45}$

$KJ=\sqrt{45}\ units$

simplify

$KJ=3\sqrt{5}\ units$

step 2

Find the value of cosine of angle MJK in the right triangle JKM

$cos(JKM)=JM/KJ$

substitute the values

$cos(JKM)=\frac{3}{3\sqrt{5}}$

simplify

$cos(JKM)=\frac{\sqrt{5}}{5}$ -----> equation A

step 3

Find the value of cosine of angle MJK in the right triangle JKL

$cos(JKM)=KJ/LJ$

we have

$KJ=3\sqrt{5}\ units$

$cos(JKM)=\frac{\sqrt{5}}{5}$ ----> remember equation A

substitute the values

$\frac{\sqrt{5}}{5}=\frac{3\sqrt{5}}{LJ}$

Simplify

$LJ=5(3)=15\ units$

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2 years ago

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Marcello is constructing the perpendicular bisector of AB¯¯¯¯¯. He has already constructed arcs as shown.

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Answer: "Use the straightedge to draw a line through points X and Y." is the right answer.

Step-by-step explanation:

To perpendicular bisector of line segment AB. There are following steps:

1) Draw arcs from points A and B on the both sides of AB.

2) Name the intersection points as X and Y.

3) Use the straightedge to draw a line through points X and Y.

4) Name the point as O

hence we have construct perpendicular bisector XY of AB which bisects at O.

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2 years ago