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3 years ago

Notes i

Mathematics

1 answer:

hichkok12 [17]3 years ago

4 0

Answer:

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PLEASE HELP ASAP!! WILL MARK BRAINLIEST!

Andrews [41]

Answer:

15) 37 16) -5x+13=-112, x=25 23) l=38, w=19

Step-by-step explanation:

15) l=5w+2, 2l+2w=88

2(5w+2)+2w=88

12w+4=88

w=7, l=37

16a) -5x+13=-112

16b) x=25

23) l=2w, 2l+2w=114

2l+l=114

l=38, w=19

6 0

3 years ago

Sam takes out a $167,000 mortgage for 20 years. He makes monthly payments and at the end calculates

cupoosta [38]

Answer:

The Annual rate of interest for the mortgage is 1.8%

Step-by-step explanation:

Given as :

The mortgage principal = p = $167,000

The time period of mortgage = t = 20 years

The Amount paid towards mortgage in 20 years = A = $240,141

Let the Annual percentage rate on interest = r % compounded annually

Now, <u>From Compound Interest method</u>

Amount = Principal × $(1+\dfrac{\textrm rate}{100})^{\textrm time}$

Or, A = p × $(1+\dfrac{\textrm r}{100})^{\textrm t}$

Or, $240,141 = $167,000 × $(1+\dfrac{\textrm r}{100})^{\textrm 20}$

or, $\dfrac{240,141}{167,000}$ = $(1+\dfrac{\textrm r}{100})^{\textrm 20}$

Or , 1.437 = $(1+\dfrac{\textrm r}{100})^{\textrm 20}$

Or, $(1.437)^{\frac{1}{20}}$ = $(1+\dfrac{r}{100})$

or, 1.018 = $(1+\dfrac{r}{100})$

Or, $\dfrac{r}{100}$ = 1.018 - 1

Or, $\dfrac{r}{100}$ = 0.018

∴ r = 0.018 × 100

i.e r = 1.8

So, The rate of interest applied = r = 1.8 %

Hence, The Annual rate of interest for the mortgage is 1.8% Answer

8 0

3 years ago

Please help me on this question

Tasya [4]

I think Its C because in the frequency table or table given if the heads are counted there are 6 of them and over all 10 which will make 6/10

7 0

3 years ago

What is the value of x in the equation 4x - 20 = -4

ICE Princess25 [194]

4x-20+=-4
-4 -4

x-20=-8
+20 +20

x=12.

4 0

3 years ago

Read 2 more answers

A card is drawn from a well-shuffled deck of 52 cards. Find the probability of drawing a diamond or a spade.

AveGali [126]

Answer:

2/13

Step-by-step explanation:

For a deck of card

Total cards = 52

Total spade = 4

Total diamond = 4

pr(drawing a spade) = number of spade/total cards

pr(drawing a spade) = 4/52 = 1/13

pr(drawing a diamond) = 4/52 = 1/13

Pr(diamond or a spade) = 1/13 + 1/13 = 2/13

8 0

3 years ago