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weqwewe [10]
3 years ago
5

State what additional information is required in order to know that the triangles are congruent for the reason given

Mathematics
1 answer:
MAXImum [283]3 years ago
3 0
The answers to the bottom two: 19 is C and 20 is A
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For a $1,000 loan at a rate of 16 3/4 % for 5 years, the simple interest is a. $83.75
bixtya [17]
D 837.5 is the right answer
8 0
3 years ago
A trust fund worth $25,000 is invested in two different portfolios. This year, one portfolio is expected to earn 5.25% interest
solong [7]

Answer:

$12 000 in Portfolio 1 and $13 000 in Portfolio 2  

Step-by-step explanation:

The formula for simple interest is  

I = Prt

For each portfolio, t = 1 yr

For Portfolio 1, i = 5.25 % = 0.0525

For Portfolio 2, i = 4 %       = 0.04

         Let x = amount invested in Portfolio 1. Then

25 000 - x = amount invested in Portfolio 2 and

\begin{array}{rcr}0.0525x + 0.04(25000- x) & = & 1150\\0.0525x+ 1000 - 0.04x & = & 1150\\0.0125x + 1000 & = & 1150\\0.0125x & = & 150\\x & = & 12000\\\end{array}

25 000 - x = 25 000 - 12 000 = 13 000

So, $12 000 is invested in Portfolio 1 and $13 000 is invested in Portfolio 2.

Check:

\begin{array}{rcl}0.0525 \times 12000 + 0.04(25000 - 12000)& = & 1150\\630 + 0.04(13000) & = & 1150\\630 + 520 & = & 1150\\1150 & = & 1150\\\end{array}

OK.

4 0
4 years ago
Did you know it takes about 40 pounds of olives to make 3 liters of olive oil? Orchard A grew about 2000 pounds of olives. How m
velikii [3]

Answer:

150

Step-by-step explanation:

7 0
3 years ago
Jena's income is $1600 a month, and she plans to budget 1/3 of her income for rent and 1/8 of her income for groceries. Step 2 o
WARRIOR [948]

Answer:

Jena spends $ 733. 33 on her rent and groceries  altogether per month.

Step-by-step explanation:

Jena's total income in a month= $1600

Here , expenditure on rent = (1/3) of her income

So, now one- third of her income $1600 is  

= \frac{1}{3}  \times 1600 = 533.33

or, (1/3) of her salary is  $533. 33

Hence, Jena spends $ 533. 33 on her rent monthly.

Now, her expenditure on groceries = (1/8) of her income

So, now one- eighth of her income $1600 is  

= \frac{1}{8}  \times 1600 = 200

or, (1/8) of her salary is $ 200.

Jena spends  $ 200. on her groceries  monthly.

So, Total expenditure  = Expenditure on rent + Expenditure on groceries

= $533. 33 + $200 = $733.33

Hence, Jena spends $ 733. 33 on her rent and groceries  altogether per month.

7 0
3 years ago
1.) Write the slope-intercept form of the equation for the line.
Vinvika [58]

Answer:

Step-by-step explanation:

4 0
4 years ago
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