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madam [21]
3 years ago
13

Nicolas has $650 to deposit into two different savings accounts. • Nicolas will deposit $400 into Account I, which earns 3.5% an

nual simple interest. • He will deposit $250 into Account II, which earns 3.25 interest compounded annually. Nicolas will not make any additional deposits or withdrawals. Which amount is closest to the total balance of these two accounts at the end of 2 years? A $672.13 B $695.00 C $694.25 D $694.51 Mathematics
Mathematics
1 answer:
Alinara [238K]3 years ago
5 0
C) $694.25

Why?
Because you want to times the interest by 2 (1 is for one year but u want to find the amount after two years) then you multiply the amount given to each bank separately so:

400*0.07 (7% which is 7/100) = 28
250*0.065 (6.5% which is 65/1000) = 16.25

Then u add the interests together:
28+16.25 = 44.25

Finally you add that to the amount you started with:
$650+$44.25= $694.25
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3 0
3 years ago
Angie and Becky each completed a separate proof to show that the measures of vertical angles AKG and HKB are equal. Who complete
Svetllana [295]

Vertical angles are angles which are <u>opposite</u> to each other and have <u>equal</u> measures. With respect to the given proof, <em>Angie</em> completed the proof <em>incorrectly</em>.

<em>Two</em> angles are said to be <u>vertical</u> when they are <em>opposite</em> to one another and have <em>equal</em> measures. However, two angles are <u>supplementary</u> if they <u>add</u> <u>up</u> to 180°.

So, comparing Angie's and Becky's proofs, it can be deduced that from Angies proof:

1. Segment GH intersects segment AB at K (1. Given)

2. m∠AKG + m∠GKB = 180° (2. Definition of Supplementary Angles)

   m∠GKB + m∠HKB = 180°   (2. Definition of Supplementary Angles)

3. m∠AKG + m∠ GKB = m∠GKB + m∠HKB  (3. Substitution Property)

4. m∠AKG = m∠HKB (4. Subtraction Property)

Note:

  • Step 2 should be Angle Addition Postulate, since:

   m∠AKG + m∠GKB = 180°

   m∠GKB + m∠HKB = 180°

So that;

   m∠AKG + m∠GKB = m∠GKB + m∠HKB

<u>Subtract</u> m∠GKB from both sides to have;

m∠AKG = m∠HKB (which is the proof for step 4)

Therefore, <u>Angie</u> completed the poof <em>incorrectly</em> because of the properties of steps 2 and 4.

A diagram is herewith attached for more clarifications.

Visit: brainly.com/question/24529637

8 0
2 years ago
What is the value of y?<br><br> Please show work of how you solved! Thankyou
kap26 [50]
log_4(y+2)=3
raise each side to base 4
4^{log_4(y+2)}=4^3
simplify
(y+2)}=64   using the law of logarithms a^{log_ab}=b
=>
y=62
6 0
3 years ago
What fraction makes this division<br> sentence true? <br> 2/3 divided by ? = 4
NeX [460]

Answer:

1/6

Step-by-step explanation:

The opposite of dividing by a fraction is multiplying by the inverse of the fraction. So, to find out what fraction to divide by you need to find what number you need to multiply 2/3 by to get 4.

2/3 x 6 = 4

So if you want to divide instead of multiply, just find the inverse of the number you are multiplying by.

The inverse of 6 is 1/6. Therefore, 2/3 divided by 1/6 equals 4.

(2/3)/(1/6) = 4

6 0
3 years ago
What angles are adjacent ?
natima [27]

Answer:

Angle number 5 is adjacent to angle psl

5 0
3 years ago
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