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2 years ago

SIMPLE CONGRUENCE QUESTION, LOTS OF POINTS!!!!!!

Mathematics

2 answers:

Neko [114]2 years ago

6 0

Answer:

ASA (the third choice)

Step-by-step explanation:

The pictures show that they have 2 angles congruent, plus the side between the 2 angles.

Olenka [21]2 years ago

4 0

Answer:

Side Angle Side

Step-by-step explanation:

These are needed to find that the triangles are congurent.

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How do you work out the rate, time and principal from the compound interest formula?

wlad13 [49]

Answer:

Part 1) $P=A/(1+\frac{r}{n})^{nt}$ (see the explanation)

Part 2) $r=n[\frac{A}{P}^{1/(nt)}-1]$ (see the explanation)

Part 3) $t=log(\frac{A}{P})/[(n)log(1+\frac{r}{n})]$ (see the explanation)

Step-by-step explanation:

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

Part 1) Find the Principal P

The values of A,r,n and t are given

Isolate the variable P

$A=P(1+\frac{r}{n})^{nt}$

Divide both side by $(1+\frac{r}{n})^{nt}$

$P=A/(1+\frac{r}{n})^{nt}$

Part 2) Find the rate r

The values of A,P,n and t are given

Isolate the variable r

$A=P(1+\frac{r}{n})^{nt}$

Divide both sides by P

$\frac{A}{P} =(1+\frac{r}{n})^{nt}$

Elevated both sides to 1/(nt)

$\frac{A}{P}^{1/(nt)} =(1+\frac{r}{n})$

subtract 1 both sides

$\frac{A}{P}^{1/(nt)}-1 =\frac{r}{n}$

Multiply by n both sides

$r=n[\frac{A}{P}^{1/(nt)}-1]$

Part 3) Find the time t

The values of A,P,r and n are given

Isolate the variable t

$A=P(1+\frac{r}{n})^{nt}$

Divide both sides by P

$\frac{A}{P} =(1+\frac{r}{n})^{nt}$

Apply log both sides

$log(\frac{A}{P})=log(1+\frac{r}{n})^{nt}$

Apply property of exponents

$log(\frac{A}{P})=(nt)log(1+\frac{r}{n})$

Divide both side by $(n)log(1+\frac{r}{n})$

$t=log(\frac{A}{P})/[(n)log(1+\frac{r}{n})]$

3 0

3 years ago

The expression -320+15y represents a submarine that began at a depth of 15 feet below sea level and ascended at a rate of feet p

alex41 [277]

Step-by-step explanation:

Given an expression that represents a submarine that began at a depth of 15 feet below sea level and ascended at a rate of feet per minute is as follows :

-320+15y

We need to find the depth of submarine after 15 minutes.

Put y = 15 in the above expression.

-320+15y = -320+15(15)

= -320 + 225

= -95

Hence, the submarine is below sea level at 95 feet.

4 0

3 years ago

X+X+(60% of X)=180<br><br> Ez points plus brainliest

JulsSmile [24]

Answer:

x = 900/ 10 + 3fo

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

3 0

3 years ago

35 girls and boys have planned for a walk. There is a ratio of 5 girls to 2 boys. How many boys are there

Nesterboy [21]

5x=2x=35
7x=35
x=35/7
x=5
5x=25 girls
2x=10 boys

hope i helped you

7 0

3 years ago

Read 2 more answers

Explain how to use grouping symbols to organize information

oksano4ka [1.4K]

Sent a picture of the solution to the problem (s).

4 0

3 years ago